Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/lbfactory/LBFactory.php on line 759

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 262

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::open($save_path, $session_name) should either be compatible with SessionHandlerInterface::open(string $path, string $name): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 181

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::close() should either be compatible with SessionHandlerInterface::close(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 196

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::read($id) should either be compatible with SessionHandlerInterface::read(string $id): string|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 210

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::write($id, $dataStr) should either be compatible with SessionHandlerInterface::write(string $id, string $data): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 238

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::destroy($id) should either be compatible with SessionHandlerInterface::destroy(string $id): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 344

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::gc($maxlifetime) should either be compatible with SessionHandlerInterface::gc(int $max_lifetime): int|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php on line 365

Deprecated: strcasecmp(): Passing null to parameter #1 ($string1) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/CookieSessionProvider.php on line 101

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 262

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: Return type of MediaWiki\Session\Session::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 593

Deprecated: Return type of MediaWiki\Session\Session::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 599

Deprecated: Return type of MediaWiki\Session\Session::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 611

Deprecated: Return type of MediaWiki\Session\Session::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 605

Deprecated: Return type of MediaWiki\Session\Session::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 623

Deprecated: Return type of MediaWiki\Session\Session::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 617

Deprecated: Return type of MediaWiki\Session\Session::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 633

Deprecated: Return type of & MediaWiki\Session\Session::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 646

Deprecated: Return type of MediaWiki\Session\Session::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 656

Deprecated: Return type of MediaWiki\Session\Session::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/Session.php on line 661

Deprecated: Message implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/language/Message.php on line 161

Deprecated: MapCacheLRU implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/MapCacheLRU.php on line 38

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: RawMessage implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/RawMessage.php on line 35

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: Creation of dynamic property Parser::$scribunto_engine is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/extensions/Scribunto/includes/common/Hooks.php on line 81

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/changes/ChannelFeed.php on line 95

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/changes/ChannelFeed.php on line 100

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Warning: Cannot modify header information - headers already sent by (output started at /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/session/PHPSessionHandler.php:35) in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/WebResponse.php on line 74

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /afs/ist.utl.pt/groups/mysolutions/web/wiki/includes/libs/rdbms/database/Database.php on line 578

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http://www.mysolutions.tecnico.ulisboa.pt//mysolutions/wiki/index.php?action=history&feed=atom&title=%C3%93ptica_Geom%C3%A9trica Óptica Geométrica - Histórico de revisões 2025-11-07T19:18:01Z Histórico de edições para esta página nesta wiki MediaWiki 1.35.2
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=6081&oldid=prev Ist23437: /* Polarização da luz. Ângulo de Brewster */ 2025-03-18T14:55:44Z <p><span dir="auto"><span class="autocomment">Polarização da luz. Ângulo de Brewster</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 14h55min de 18 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l174" >Linha 174:</td> <td colspan="2" class="diff-lineno">Linha 174:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Polarização da luz. Ângulo de Brewster==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Polarização da luz. Ângulo de Brewster==</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Usando a mesma montagem do ponto anterior, polarize o feixe perpendicularmente ao plano de incidência, orientando o eixo \(0^\circ-180^\circ\) do filtro polarizador na horizontal. Deste modo, para o ângulo de Brewster a luz reflectida pelo semi-cilindro irá anular-se.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Usando a mesma montagem do ponto anterior <ins class="diffchange diffchange-inline">para incidência na face plana</ins>, polarize o feixe perpendicularmente ao plano de incidência, orientando o eixo \(0^\circ-180^\circ\) do filtro polarizador na horizontal <ins class="diffchange diffchange-inline">e colocando-o antes da plataforma</ins>. Deste modo, para o ângulo de Brewster a luz reflectida pelo semi-cilindro irá anular-se.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># A partir do valor médio obtido para o índice de refracção (o que usou na secção anterior), calcule o valor &quot;teórico&quot; do ângulo de Brewster e verifique experimentalmente que, para esse valor, os raios reflectido e transmitido fazem 90\(^\circ\) entre si.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># A partir do valor médio obtido para o índice de refracção (o que usou na secção anterior), calcule o valor &quot;teórico&quot; do ângulo de Brewster e verifique experimentalmente que, para esse valor, os raios reflectido e transmitido fazem 90\(^\circ\) entre si.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Para ângulos de incidência próximos do ângulo de Brewster, obtenha o intervalo angular em que praticamente se extingue o feixe reflectido.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Para ângulos de incidência próximos do ângulo de Brewster, obtenha o intervalo angular em que praticamente se extingue o feixe reflectido.</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5939&oldid=prev Ist23437: /* Polarização da luz. Ângulo de Brewster */ 2025-03-12T22:09:01Z <p><span dir="auto"><span class="autocomment">Polarização da luz. Ângulo de Brewster</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 22h09min de 12 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l174" >Linha 174:</td> <td colspan="2" class="diff-lineno">Linha 174:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Polarização da luz. Ângulo de Brewster==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Polarização da luz. Ângulo de Brewster==</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"># Observe o efeito de interposição de dois filtros polarizadores, paralelos ou cruzados, no percurso de um feixe luminoso. </del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Usando a mesma montagem do ponto anterior, polarize o feixe <ins class="diffchange diffchange-inline">perpendicularmente </ins>ao plano de incidência, orientando o eixo \(0^\circ-180^\circ\) do filtro polarizador na <ins class="diffchange diffchange-inline">horizontal. Deste modo, para o ângulo de Brewster a luz reflectida pelo semi-cilindro irá anular-se</ins>.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Usando a mesma montagem do ponto anterior, polarize o feixe <del class="diffchange diffchange-inline">paralelamente </del>ao plano de incidência, orientando o eixo \(0^\circ-180^\circ\) do filtro polarizador na <del class="diffchange diffchange-inline">vertical</del>.  </div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># A partir do valor médio obtido para o índice de refracção (o que usou na secção anterior), calcule o valor &quot;teórico&quot; do ângulo de Brewster e verifique experimentalmente que, para esse valor, os raios reflectido e transmitido fazem 90\(^\circ\) entre si.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># A partir do valor médio obtido para o índice de refracção (o que usou na secção anterior), calcule o valor &quot;teórico&quot; do ângulo de Brewster e verifique experimentalmente que, para esse valor, os raios reflectido e transmitido fazem 90\(^\circ\) entre si.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Para ângulos de incidência próximos do ângulo de Brewster, obtenha o intervalo angular em que praticamente se extingue o feixe reflectido.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Para ângulos de incidência próximos do ângulo de Brewster, obtenha o intervalo angular em que praticamente se extingue o feixe reflectido.</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5938&oldid=prev Ist23437: /* Reflexão, refracção e polarização */ 2025-03-12T22:05:25Z <p><span dir="auto"><span class="autocomment">Reflexão, refracção e polarização</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 22h05min de 12 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l37" >Linha 37:</td> <td colspan="2" class="diff-lineno">Linha 37:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Pode-se polarizar a luz emitida por uma fonte não-polarizada através de um simples [https://pt.wikipedia.org/wiki/Filtro_polarizador filtro polarizador] (ou &#039;&#039;polaroide&#039;&#039;). Orientando o ângulo do filtro relativamente à direcção dos raios luminosos, é possível definir a direcção de polarização. Por exemplo, no caso da Fig. 3(a) a luz obtida é polarizada verticalmente.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Pode-se polarizar a luz emitida por uma fonte não-polarizada através de um simples [https://pt.wikipedia.org/wiki/Filtro_polarizador filtro polarizador] (ou &#039;&#039;polaroide&#039;&#039;). Orientando o ângulo do filtro relativamente à direcção dos raios luminosos, é possível definir a direcção de polarização. Por exemplo, no caso da Fig. 3(a) a luz obtida é polarizada verticalmente.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Quando se coloca um polarizador no caminho de luz já polarizada, a intensidade da luz que passa depende do ângulo entre o &#039;&#039;eixo do polarizador&#039;&#039; e a direcção de polarização da luz. A Fig. 3(b) mostra o efeito de dois polarizadores colocados em cima do écrã de um computador. Normalmente, por uma questão de melhorar a visibilidade, os écrans de computador <del class="diffchange diffchange-inline">(</del>tipo LCD ou OLED<del class="diffchange diffchange-inline">) </del>emitem luz polarizada verticalmente. Assim, quando o eixo do polarizador (direcção 0\(^\circ\)-180\(^\circ\)) também está vertical (esquerda), a quantidade de luz transmitida é máxima. Quando esse eixo está na horizontal (direita), a quantidade de luz transmitida é mínima.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Quando se coloca um polarizador no caminho de luz já polarizada, a intensidade da luz que passa depende do ângulo entre o &#039;&#039;eixo do polarizador&#039;&#039; e a direcção de polarização da luz. A Fig. 3(b) mostra o efeito de dois polarizadores colocados em cima do écrã de um computador <ins class="diffchange diffchange-inline">(o fundo branco da imagem)</ins>. Normalmente, por uma questão de melhorar a visibilidade, os écrans de computador <ins class="diffchange diffchange-inline">de </ins>tipo LCD ou OLED emitem luz polarizada verticalmente. Assim, quando o eixo do polarizador (direcção 0\(^\circ\)-180\(^\circ\)) também está vertical (esquerda), a quantidade de luz transmitida é máxima. Quando esse eixo está na horizontal (direita), a quantidade de luz transmitida é mínima.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Construções geométricas em lentes delgadas=</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Construções geométricas em lentes delgadas=</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5937&oldid=prev Ist23437 em 22h04min de 12 de março de 2025 2025-03-12T22:04:25Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 22h04min de 12 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l30" >Linha 30:</td> <td colspan="2" class="diff-lineno">Linha 30:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-pol-luz.png|thumb|upright=0.5 |Fig. 3(a) - Obtenção de luz polarizada através de um filtro polarizador.]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-pol-luz.png|thumb|upright=0.5 |Fig. 3(a) - Obtenção de luz polarizada através de um filtro polarizador.]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[file:<del class="diffchange diffchange-inline">OG-polarizadores</del>.png|thumb|upright=0.5 |Fig. 3(b) - Efeito de dois polarizadores colocados em cima de um écrã de computador.]]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[file:<ins class="diffchange diffchange-inline">Polarizadores</ins>.png|thumb|upright=0.5 |Fig. 3(b) - Efeito de dois polarizadores colocados em cima de um écrã de computador.]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reflexão, refracção e polarização==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reflexão, refracção e polarização==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5935&oldid=prev Ist23437 em 20h46min de 12 de março de 2025 2025-03-12T20:46:24Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 20h46min de 12 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Linha 28:</td> <td colspan="2" class="diff-lineno">Linha 28:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-brewster.png|thumb|upright=0.5 |Fig. 2 - Reflectividade vs. ângulo de incidência e direcção de polarização (esq.) e geometria para ângulo de Brewster (dir.).]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-brewster.png|thumb|upright=0.5 |Fig. 2 - Reflectividade vs. ângulo de incidência e direcção de polarização (esq.) e geometria para ângulo de Brewster (dir.).]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-pol-luz.png|thumb|upright=0.5 |Fig. 3 - Obtenção de luz polarizada através de um filtro polarizador.]]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-pol-luz.png|thumb|upright=0.5 |Fig. 3<ins class="diffchange diffchange-inline">(a) </ins>- Obtenção de luz polarizada através de um filtro polarizador<ins class="diffchange diffchange-inline">.]]</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[file:OG-polarizadores.png|thumb|upright=0.5 |Fig. 3(b) - Efeito de dois polarizadores colocados em cima de um écrã de computador</ins>.]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reflexão, refracção e polarização==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reflexão, refracção e polarização==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5934&oldid=prev Ist23437: /* Reflexão, refracção e polarização */ 2025-03-12T20:44:43Z <p><span dir="auto"><span class="autocomment">Reflexão, refracção e polarização</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 20h44min de 12 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l33" >Linha 33:</td> <td colspan="2" class="diff-lineno">Linha 33:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A eficiência com que um feixe luminoso é reflectido ou refractado numa fronteira entre dois meios de índices de refracção \(n_1\)e \(n_2\) depende, entre outros, do ângulo de incidência e da polarização da luz. A Fig. 2 mostra como varia a reflectividade de uma superfície de vidro em função do ângulo de incidência, para polarizações horizontal e vertical (admitindo que o plano de incidência e reflexão é horizontal). Para um ângulo específico, designado [https://pt.wikipedia.org/wiki/%C3%82ngulo_de_Brewster ângulo de Brewster] e dado por \(\theta_B=\arctan(n_2/n_1)\), a componente horizontal da polarização não é reflectida, pelo que a luz reflectida fica com polarização vertical. Esta é uma forma de criar luz polarizada a partir de uma fonte não-polarizada. A figura ilustra também a geometria dos raios luminosos numa separação entre dois meios, no caso de incidência em ângulo de Brewster. Como se pode apreciar, nessa configuração o raio reflectido e o raio refractado fazem entre si um ângulo de 90\(^\circ\).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A eficiência com que um feixe luminoso é reflectido ou refractado numa fronteira entre dois meios de índices de refracção \(n_1\)e \(n_2\) depende, entre outros, do ângulo de incidência e da polarização da luz. A Fig. 2 mostra como varia a reflectividade de uma superfície de vidro em função do ângulo de incidência, para polarizações horizontal e vertical (admitindo que o plano de incidência e reflexão é horizontal). Para um ângulo específico, designado [https://pt.wikipedia.org/wiki/%C3%82ngulo_de_Brewster ângulo de Brewster] e dado por \(\theta_B=\arctan(n_2/n_1)\), a componente horizontal da polarização não é reflectida, pelo que a luz reflectida fica com polarização vertical. Esta é uma forma de criar luz polarizada a partir de uma fonte não-polarizada. A figura ilustra também a geometria dos raios luminosos numa separação entre dois meios, no caso de incidência em ângulo de Brewster. Como se pode apreciar, nessa configuração o raio reflectido e o raio refractado fazem entre si um ângulo de 90\(^\circ\).</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Pode-se polarizar a luz emitida por uma fonte não-polarizada através de um simples [https://pt.wikipedia.org/wiki/Filtro_polarizador filtro polarizador] (ou &#039;&#039;polaroide&#039;&#039;). Orientando o ângulo do filtro relativamente à direcção dos raios luminosos, é possível definir a direcção de polarização. Por exemplo, no caso da Fig. 3 a luz obtida é polarizada verticalmente.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Pode-se polarizar a luz emitida por uma fonte não-polarizada através de um simples [https://pt.wikipedia.org/wiki/Filtro_polarizador filtro polarizador] (ou &#039;&#039;polaroide&#039;&#039;). Orientando o ângulo do filtro relativamente à direcção dos raios luminosos, é possível definir a direcção de polarização. Por exemplo, no caso da Fig. 3<ins class="diffchange diffchange-inline">(a) </ins>a luz obtida é polarizada verticalmente<ins class="diffchange diffchange-inline">.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Quando se coloca um polarizador no caminho de luz já polarizada, a intensidade da luz que passa depende do ângulo entre o &#039;&#039;eixo do polarizador&#039;&#039; e a direcção de polarização da luz. A Fig. 3(b) mostra o efeito de dois polarizadores colocados em cima do écrã de um computador. Normalmente, por uma questão de melhorar a visibilidade, os écrans de computador (tipo LCD ou OLED) emitem luz polarizada verticalmente. Assim, quando o eixo do polarizador (direcção 0\(^\circ\)-180\(^\circ\)) também está vertical (esquerda), a quantidade de luz transmitida é máxima. Quando esse eixo está na horizontal (direita), a quantidade de luz transmitida é mínima</ins>.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Construções geométricas em lentes delgadas=</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Construções geométricas em lentes delgadas=</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5922&oldid=prev Ist23437: /* Medição da ampliação linear da objectiva */ 2025-03-06T20:24:59Z <p><span dir="auto"><span class="autocomment">Medição da ampliação linear da objectiva</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 20h24min de 6 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l212" >Linha 212:</td> <td colspan="2" class="diff-lineno">Linha 212:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Usando como referência a Fig. 22, junte uma objectiva de modo a observar uma imagem do alvo no plano de E2.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Usando como referência a Fig. 22, junte uma objectiva de modo a observar uma imagem do alvo no plano de E2.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Observe todo o sistema através da ocular. Ajuste a posição da objectiva para conseguir observar uma imagem focada.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Observe todo o sistema através da ocular. Ajuste a posição da objectiva para conseguir observar uma imagem focada.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Escolha uma altura \(<del class="diffchange diffchange-inline">h_0</del>\) adequada do écran graduado. Observe a imagem intermédia \(h’\) no plano de E2 e meça a sua ampliação \(M_T\).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Escolha uma altura \(<ins class="diffchange diffchange-inline">h_O</ins>\) adequada do écran graduado. Observe a imagem intermédia \(h’\) no plano de E2 e meça a sua ampliação \(M_T<ins class="diffchange diffchange-inline">=h&#039;/h_O</ins>\).</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Calcule a ampliação final do microscópio composto.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Calcule a ampliação final do microscópio composto.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=Notas=</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=Notas=</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5921&oldid=prev Ist23437: /* Medição da ampliação linear da objectiva */ 2025-03-06T20:22:48Z <p><span dir="auto"><span class="autocomment">Medição da ampliação linear da objectiva</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 20h22min de 6 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l209" >Linha 209:</td> <td colspan="2" class="diff-lineno">Linha 209:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para esta medição vamos usar a objectiva como um sistema de formação de imagem (real) a partir de um objecto.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Para esta medição vamos usar a objectiva como um sistema de formação de imagem (real) a partir de um objecto.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;li value=&quot;5&quot;&gt;Mantenha a ocular montada mas retire o suporte de E1.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;li value=&quot;5&quot;&gt;Mantenha a ocular montada mas retire o suporte de E1.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Na extremidade oposta à da ocular, monte a fonte luminosa e coloque o objecto (écran <del class="diffchange diffchange-inline">graduado</del>) imediatamente encostado à saída da luz.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Na extremidade oposta à da ocular, monte a fonte luminosa e coloque o objecto (écran <ins class="diffchange diffchange-inline">E1</ins>) imediatamente encostado à saída da luz.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Usando como referência a Fig. 22, junte uma objectiva de modo a observar uma imagem do alvo no plano de E2.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Usando como referência a Fig. 22, junte uma objectiva de modo a observar uma imagem do alvo no plano de E2.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Observe todo o sistema através da ocular. Ajuste a posição da objectiva para conseguir observar uma imagem focada.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Observe todo o sistema através da ocular. Ajuste a posição da objectiva para conseguir observar uma imagem focada.</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5920&oldid=prev Ist23437: /* Microscópio composto */ 2025-03-06T20:20:39Z <p><span dir="auto"><span class="autocomment">Microscópio composto</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 20h20min de 6 de março de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l194" >Linha 194:</td> <td colspan="2" class="diff-lineno">Linha 194:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Lente objectiva \(f\)= 75 mm</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Lente objectiva \(f\)= 75 mm</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Lente ocular \(f\)= 150 mm</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Lente ocular \(f\)= 150 mm</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* Écrã graduado (escala de referência)</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* Écrã transparente graduado (objecto)</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação angular da ocular===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação angular da ocular===</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"># Monte </del>um <del class="diffchange diffchange-inline">ecrã graduado </del>(<del class="diffchange diffchange-inline">E1</del>) <del class="diffchange diffchange-inline">na parte lateral exterior de </del>um suporte a \(d_i\approx 25\) cm da extremidade da calha, de modo a ficar no ponto próximo do observador. Este ecrã será a escala de referência<del class="diffchange diffchange-inline">, desempenhando o mesmo papel que </del>a <del class="diffchange diffchange-inline">escala na parede, no caso do telescópio</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Para esta medição vamos usar a lente ocular como uma lupa (ver Fig. 21). Os passos seguintes permitem determinar a ampliação de </ins>um <ins class="diffchange diffchange-inline">objecto, visualizado através da lupa, em relação a uma escala de referência. Para esta determinação, iremos sobrepor visualmente o objecto (observado com o olho esquerdo) e a escala </ins>(<ins class="diffchange diffchange-inline">observada com o olho direito</ins>) <ins class="diffchange diffchange-inline">e fazer uma comparação directa dos seus tamanhos relativos.</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Monte a lente ocular junto à mesma extremidade da calha, de modo a obter a condição \(b\sim 0\) (<del class="diffchange diffchange-inline">verifique a </del>Fig. 24). Calcule qual a distância \(d_O\) dessa lente a que deverá colocar <del class="diffchange diffchange-inline">um </del>objecto <del class="diffchange diffchange-inline">(altura \(h_O\)) </del>de modo a que a sua imagem surja no ponto próximo. Use <del class="diffchange diffchange-inline">o valor obtido </del>para determinar a ampliação angular (calculada).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"># Retire todos os componentes da calha. Coloque </ins>um suporte a \(d_i\approx 25\) cm da extremidade da calha, de modo a ficar no ponto próximo do observador<ins class="diffchange diffchange-inline">. Monte um ecrã graduado (E1) na parte lateral direita do suporte, deslocado em relação ao centro do mesmo (ver Fig. 24)</ins>. Este ecrã será a <ins class="diffchange diffchange-inline">&#039;&#039;</ins>escala de referência<ins class="diffchange diffchange-inline">&#039;&#039; em relação à qual se vai medir </ins>a <ins class="diffchange diffchange-inline">ampliação</ins>.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Coloque <del class="diffchange diffchange-inline">outro </del>ecrã graduado (E2) entre a lente e E1, próximo da posição \(d_O\) calculada acima, de modo a conseguir visualizar simultaneamente (a) a escala de E2 através da lente, com o olho esquerdo, e (b) a escala de E1 com o olho direito.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Monte a lente ocular junto à mesma extremidade da calha, de modo a obter a condição \(b\sim 0\) (Fig. 24). Calcule qual a distância \(d_O\) dessa lente a que deverá colocar <ins class="diffchange diffchange-inline">o </ins>objecto de modo a que a sua imagem surja no ponto próximo. Use <ins class="diffchange diffchange-inline">os valores de \(d_O\) e \(d_i\) </ins>para determinar a ampliação angular (calculada).</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Ajuste a posição de E2 até conseguir focar simultaneamente as imagens em ambos os olhos. Sobrepondo visualmente as duas escalas graduadas, meça o tamanho aparente \(h&#039;_a\) da imagem (virtual) <del class="diffchange diffchange-inline">de E2 </del>e determine a ampliação angular \(M_A\) da <del class="diffchange diffchange-inline">lente, usando a expressão adequada para este caso (ver Fig</del>. <del class="diffchange diffchange-inline">23 e consultar a tabela mais acima)</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Coloque <ins class="diffchange diffchange-inline">o </ins>ecrã <ins class="diffchange diffchange-inline">transparente </ins>graduado (E2) entre a lente e E1, próximo da posição \(d_O\) calculada acima, de modo a conseguir visualizar simultaneamente (a) a escala de E2 através da lente, com o olho esquerdo, e (b) a escala de E1 com o olho direito <ins class="diffchange diffchange-inline">(Fig</ins>. <ins class="diffchange diffchange-inline">24, imagem inserida)</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Ajuste a posição de E2 até conseguir focar simultaneamente as imagens em ambos os olhos. Sobrepondo visualmente as duas escalas graduadas<ins class="diffchange diffchange-inline">, escolha um comprimento \(h_O\) em E2</ins>, meça o tamanho aparente \(h&#039;_a\) da <ins class="diffchange diffchange-inline">sua </ins>imagem (virtual) <ins class="diffchange diffchange-inline">em relação à escala </ins>e determine a ampliação angular \(M_A<ins class="diffchange diffchange-inline">=h&#039;_a/h_O</ins>\) da <ins class="diffchange diffchange-inline">ocular</ins>.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-micro-composto.png|thumb|upright=1.0 |Fig. 24 - Esquema para a medição da ampliação angular da ocular.]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-micro-composto.png|thumb|upright=1.0 |Fig. 24 - Esquema para a medição da ampliação angular da ocular.]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação linear da objectiva===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação linear da objectiva===</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># &lt;li value=&quot;5&quot;&gt;<del class="diffchange diffchange-inline">Mantendo </del>a ocular montada e <del class="diffchange diffchange-inline">usando </del>como referência a Fig. 22, junte uma objectiva <del class="diffchange diffchange-inline">e um objecto (um écran graduado iluminado). Escolha </del>uma <del class="diffchange diffchange-inline">altura \(h_0\) adequada</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Para esta medição vamos usar a objectiva como um sistema de formação de imagem (real) a partir de um objecto.</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># <del class="diffchange diffchange-inline">Se necessário, ajuste </del>a objectiva para observar uma imagem focada <del class="diffchange diffchange-inline">através da ocular</del>.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># &lt;li value=&quot;5&quot;&gt;<ins class="diffchange diffchange-inline">Mantenha </ins>a ocular montada <ins class="diffchange diffchange-inline">mas retire o suporte de E1.</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># <del class="diffchange diffchange-inline">Com um ecrã auxiliar, observe </del>a imagem intermédia \(h’\) e meça a sua ampliação.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"># Na extremidade oposta à da ocular, monte a fonte luminosa </ins>e <ins class="diffchange diffchange-inline">coloque o objecto (écran graduado) imediatamente encostado à saída da luz.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"># Usando </ins>como referência a Fig. 22, junte uma objectiva <ins class="diffchange diffchange-inline">de modo a observar </ins>uma <ins class="diffchange diffchange-inline">imagem do alvo no plano de E2</ins>.  </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># <ins class="diffchange diffchange-inline">Observe todo o sistema através da ocular. Ajuste </ins>a <ins class="diffchange diffchange-inline">posição da </ins>objectiva para <ins class="diffchange diffchange-inline">conseguir </ins>observar uma imagem focada.</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># <ins class="diffchange diffchange-inline">Escolha uma altura \(h_0\) adequada do écran graduado. Observe </ins>a imagem intermédia \(h’\) <ins class="diffchange diffchange-inline">no plano de E2 </ins>e meça a sua ampliação <ins class="diffchange diffchange-inline">\(M_T\)</ins>.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Calcule a ampliação final do microscópio composto.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Calcule a ampliação final do microscópio composto.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=Notas=</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=Notas=</div></td></tr> </table> Ist23437
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http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=%C3%93ptica_Geom%C3%A9trica&diff=5918&oldid=prev Ist23437: /* Microscópio composto */ 2025-02-28T17:18:08Z <p><span dir="auto"><span class="autocomment">Microscópio composto</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 17h18min de 28 de fevereiro de 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l197" >Linha 197:</td> <td colspan="2" class="diff-lineno">Linha 197:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação angular da ocular===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação angular da ocular===</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Monte um ecrã graduado (E1) na parte lateral exterior de um suporte a \(d_i\approx 25\) cm da extremidade da calha, de modo a ficar no ponto próximo do observador. Este ecrã será a escala de referência, desempenhando o mesmo papel que a escala na parede, no caso do telescópio.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Monte um ecrã graduado (E1) na parte lateral exterior de um suporte a \(d_i\approx 25\) cm da extremidade da calha, de modo a ficar no ponto próximo do observador. Este ecrã será a escala de referência, desempenhando o mesmo papel que a escala na parede, no caso do telescópio.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Monte a lente ocular junto à mesma extremidade da calha, de modo a obter a condição \(b\sim 0\) (verifique a Fig. <del class="diffchange diffchange-inline">23</del>). Calcule qual a distância \(d_O\) dessa lente a que deverá colocar um objecto (altura \(h_O\)) de modo a que a sua imagem surja no ponto próximo. Use o valor obtido para determinar a ampliação angular (calculada).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Monte a lente ocular junto à mesma extremidade da calha, de modo a obter a condição \(b\sim 0\) (verifique a Fig. <ins class="diffchange diffchange-inline">24</ins>). Calcule qual a distância \(d_O\) dessa lente a que deverá colocar um objecto (altura \(h_O\)) de modo a que a sua imagem surja no ponto próximo. Use o valor obtido para determinar a ampliação angular (calculada).</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Coloque outro ecrã graduado (E2) entre a lente e E1, próximo da posição \(d_O\) calculada acima, de modo a conseguir visualizar simultaneamente (a) a escala de E2 através da lente, com o olho esquerdo, e (b) a escala de E1 com o olho direito.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Coloque outro ecrã graduado (E2) entre a lente e E1, próximo da posição \(d_O\) calculada acima, de modo a conseguir visualizar simultaneamente (a) a escala de E2 através da lente, com o olho esquerdo, e (b) a escala de E1 com o olho direito.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Ajuste a posição de E2 até conseguir focar simultaneamente as imagens em ambos os olhos. Sobrepondo visualmente as duas escalas graduadas, meça o tamanho aparente \(h&#039;_a\) da imagem (virtual) de E2 e determine a ampliação angular \(M_A\) da lente, usando a expressão adequada para este caso (ver Fig. 23 e consultar a tabela mais acima)</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Ajuste a posição de E2 até conseguir focar simultaneamente as imagens em ambos os olhos. Sobrepondo visualmente as duas escalas graduadas, meça o tamanho aparente \(h&#039;_a\) da imagem (virtual) de E2 e determine a ampliação angular \(M_A\) da lente, usando a expressão adequada para este caso (ver Fig. 23 e consultar a tabela mais acima)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-micro-composto.png|thumb|upright=1.0 |Fig. <del class="diffchange diffchange-inline">23 </del>- Esquema para a medição da ampliação angular da ocular.]]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[file:OG-micro-composto.png|thumb|upright=1.0 |Fig. <ins class="diffchange diffchange-inline">24 </ins>- Esquema para a medição da ampliação angular da ocular.]]</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação linear da objectiva===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Medição da ampliação linear da objectiva===</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># &lt;li value=&quot;5&quot;&gt;Mantendo a ocular montada e usando como referência a Fig. <del class="diffchange diffchange-inline">\ref{fig:microscopio}</del>, junte uma objectiva e um objecto (um écran graduado iluminado). Escolha uma altura \(h_0\) adequada.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># &lt;li value=&quot;5&quot;&gt;Mantendo a ocular montada e usando como referência a Fig. <ins class="diffchange diffchange-inline">22</ins>, junte uma objectiva e um objecto (um écran graduado iluminado). Escolha uma altura \(h_0\) adequada.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Se necessário, ajuste a objectiva para observar uma imagem focada através da ocular.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Se necessário, ajuste a objectiva para observar uma imagem focada através da ocular.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Com um ecrã auxiliar, observe a imagem intermédia \(h’\) e meça a sua ampliação.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Com um ecrã auxiliar, observe a imagem intermédia \(h’\) e meça a sua ampliação.</div></td></tr> </table> Ist23437

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