{"id":2421,"date":"2016-09-11T00:28:40","date_gmt":"2016-09-11T00:28:40","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2421"},"modified":"2024-08-23T15:06:31","modified_gmt":"2024-08-23T15:06:31","slug":"exercicios-de-vestibulares-com-resolucoes-comentadas-sobre-interferencia-de-ondas","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/ondulatoria\/ondas\/interferencia-de-ondas\/exercicios-de-vestibulares-com-resolucoes-comentadas-sobre-interferencia-de-ondas\/","title":{"rendered":"Interfer\u00eancia de Ondas &#8211; Exerc\u00edcios"},"content":{"rendered":"<p align=\"CENTER\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: large;\">Exerc\u00edcios de vestibulares com resolu\u00e7\u00f5es comentadas sobre <\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: large;\">Interfer\u00eancia de Ondas<\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>01-(UFSCAR-SP)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Dois pulsos, A e B, s\u00e3o produzidos em uma corda esticada, que tem uma extremidade fixada em uma parede, conforme mostra a figura.<\/b><\/span><\/span><\/span><img fetchpriority=\"high\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_10882791.jpg\" alt=\"\" width=\"395\" height=\"149\" name=\"Imagem 28\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Quando os dois pulsos se superpuserem, ap\u00f3s o pulso A ter sofrido reflex\u00e3o na parede, ocorrer\u00e1 interfer\u00eancia:<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) construtiva e, em seguida, cada pulso seguir\u00e1 se caminho mantendo suas caracter\u00edsticas originais.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) construtiva e, em seguida, os dois pulsos seguir\u00e3o juntos no sentido do pulso de maior energia.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>c) destrutiva e, em seguida os pulsos deixar\u00e3o de existir, devido a absor\u00e7\u00e3o de energia durante a intera\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>d) destrutiva e, em seguida, os dois pulsos seguir\u00e3o juntos no sentido do pulso de maior energia.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>e) destrutiva e, em seguida, cada pulso seguir\u00e1 se caminho mantendo suas caracter\u00edsticas originais.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>02-(UFRJ-RJ)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A figura 1 retrata, em um dado instante, uma corda na qual se propagam, em sentidos opostos, dois pulsos transversais de mesma forma, um invertido em rela\u00e7\u00e3o ao outro.<\/b><\/span><\/span><\/span><img decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_f8ad5733.jpg\" alt=\"\" width=\"407\" height=\"215\" name=\"Imagem 29\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A figura 2 mostra a mesma corda no instante em que a superposi\u00e7\u00e3o dos pulsos faz com que a corda esteja na horizontal. Est\u00e3o marcados dois pontos da corda: A e B.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Tendo em conta o eixo transversal orientado representado na figura, cujo sentido positivo \u00e9 de baixo para cima, verifique se as velocidades escalares dos pontos A e B s\u00e3o positivas, negativas ou nulas. Justifique sua resposta<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>03-(PUC-PR)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>O fen\u00f4meno da interfer\u00eancia n\u00e3o pode ocorrer com o som, porque, ao contr\u00e1rio da luz, o som consiste de ondas longitudinais. Esta afirma\u00e7\u00e3o \u00e9:<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) verdadeira, pelos motivos expostos.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) falsa, pois a interfer\u00eancia se d\u00e1 nos dois casos.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>c) verdadeira, mas n\u00e3o pelos motivos expostos.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>d) falsa, pois somente com ondas longitudinais \u00e9 poss\u00edvel obter interfer\u00eancia.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>e) verdadeira, pois em nenhum dos casos, \u00e9 poss\u00edvel obter interfer\u00eancia.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>04-(UFSC)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A figura representa dois pulsos de onda, inicialmente separados por\u00a0 6,0 cm,\u00a0 propagando-se em um meio com velocidades iguais a 2,0 cm\/s, em sentidos opostos.<\/b><\/span><\/span><\/span><img decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_f63de0e5.jpg\" alt=\"\" width=\"407\" height=\"247\" name=\"Imagem 30\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Considerando a situa\u00e7\u00e3o descrita, assinale a(s) proposi\u00e7\u00e3o(\u00f5es) CORRETA(S):<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>(01) Inicialmente as amplitudes dos pulsos s\u00e3o id\u00eanticas e iguais a 2,0 cm.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>(02) Decorridos 8,0 segundos, os pulsos continuar\u00e3o com a mesma velocidade e forma de onda, independentemente um do outro.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>(04) Decorridos 2,0 segundos, haver\u00e1 sobreposi\u00e7\u00e3o dos pulsos e a amplitude ser\u00e1 nula nesse instante.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>(08) Decorridos 2,0 segundos, haver\u00e1 sobreposi\u00e7\u00e3o dos pulsos e a amplitude ser\u00e1 m\u00e1xima nesse instante e igual a 2,0 cm.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>(16) Quando os pulsos se encontrarem, haver\u00e1 interfer\u00eancia de um sobre o outro e n\u00e3o mais haver\u00e1 propaga\u00e7\u00e3o dos mesmos.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>05-(UFC)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas ondas ocupam a mesma regi\u00e3o no espa\u00e7o e t\u00eam amplitudes que variam com o tempo, conforme o gr\u00e1fico a seguir.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Assinale a alternativa que cont\u00e9m o gr\u00e1fico resultante da soma dessas duas ondas.<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_c5f5355b.jpg\" alt=\"\" width=\"780\" height=\"221\" name=\"Imagem 31\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>06-(UFSCAR-SP)<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b> A figura mostra dois pulsos numa corda\u00a0 tensionada no instante t=0 s, propagando-se com velocidade de 2m\/s em sentidos opostos.<\/b><\/span><\/span><\/span><\/p>\n<p><a name=\"_GoBack\"><\/a> <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_7a75f0b2.jpg\" alt=\"\" width=\"373\" height=\"147\" name=\"Imagem 32\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A configura\u00e7\u00e3o da corda no instante t=20ms \u00e9:<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_5909483b.jpg\" alt=\"\" width=\"206\" height=\"116\" name=\"Imagem 33\" align=\"BOTTOM\" border=\"0\" \/><span style=\"color: #000000;\">\u00a0\u00a0 <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_69259c1b.jpg\" alt=\"\" width=\"242\" height=\"109\" name=\"Imagem 34\" align=\"BOTTOM\" border=\"0\" \/> \u00a0\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_c11d7211.jpg\" alt=\"\" width=\"262\" height=\"117\" name=\"Imagem 35\" align=\"BOTTOM\" border=\"0\" \/>\u00a0\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_a864dafe.jpg\" alt=\"\" width=\"209\" height=\"113\" name=\"Imagem 36\" align=\"BOTTOM\" border=\"0\" \/> <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_bd3fd75c.jpg\" alt=\"\" width=\"211\" height=\"123\" name=\"Imagem 37\" align=\"BOTTOM\" border=\"0\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>07- (UFG-GO)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Considere duas ondas que se propagam numa mesma corda homog\u00eanea, segundo o esquema abaixo, onde a extremidade da direita \u00e9 fixa.<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_d95a4dc4.jpg\" alt=\"\" width=\"473\" height=\"183\" name=\"Imagem 38\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>As ondas se movem no sentido indicado, a uma velocidade de 2m\/s.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) Qual \u00e9 a amplitude, o comprimento de onda e a freq\u00fc\u00eancia dessas ondas.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) Fa\u00e7a o desenho da corda ap\u00f3s 4s do instante representado no esquema. Qual \u00e9 a amplitude da onda resultante?<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>08- (UNIFENAS-MG)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>No desenho a seguir, vemos duas ondas se propagarem em uma mesma corda, em sentidos opostos<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>(figura A).<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_3a289c86.jpg\" alt=\"\" width=\"473\" height=\"114\" name=\"Imagem 39\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Quando elas estiverem totalmente superpostas (figura B), a forma da corda ser\u00e1:<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_bda1c195.jpg\" alt=\"\" width=\"781\" height=\"214\" name=\"Imagem 40\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>09-(FUVEST-SP)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A figura representa, no instante t=0 s, a forma de uma corda esticada e presa entre duas paredes fixas, na qual dois pulsos (I e II) se propagam, sem mudar de forma, com velocidade de m\u00f3dulo V=4m\/s nos sentidos indicados. N\u00e3o h\u00e1 dissipa\u00e7\u00e3o de energia na corda. Considere 4 pontos da corda definidos por suas coordenadas X: A (X<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>=7,0m), B (X<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>B<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>=9,0m, C (X<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>C<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>=11,0m) e D (X<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>D<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>=13,0m).<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) Indique na figura dada, por meio de setas verticais, os sentidos das velocidades na dire\u00e7\u00e3o do eixo Y, dos pontos A e B, no instante t=0 s. Se alguma dessas velocidades for nula, escreva \u201cnula\u201d, identificando-a.<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_2e11f774.jpg\" alt=\"\" width=\"466\" height=\"275\" name=\"Imagem 41\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) Determine o valor do m\u00f3dulo da velocidade na dire\u00e7\u00e3o do eixo Y, do ponto A, no instante t=0 s.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>c) Desenhe a forma da corda no instante t=1s. Indique por meio de setas, os sentidos das velocidades na dire\u00e7\u00e3o do eixo Y, dos pontos C e D. Se alguma dessas velocidades for nula, escreva \u201cnula\u201d, identificando-a.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>10-(UEL-PR)<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b> Dois pulsos praticamente iguais est\u00e3o se propagando numa corda el\u00e1stica AB, com velocidade de propaga\u00e7\u00e3o de 2cm\/s. A extremidade A \u00e9 livre e nela se originam os pulsos, enquanto a extremidade B \u00e9 fixa. Considere que a posi\u00e7\u00e3o dos pulsos no esquema 1 corresponde ao instante t=0.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"> <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_e9e0aac.jpg\" alt=\"\" width=\"343\" height=\"143\" name=\"Imagem 42\" align=\"BOTTOM\" border=\"0\" \/>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_15449594.jpg\" alt=\"\" width=\"335\" height=\"172\" name=\"Imagem 43\" align=\"BOTTOM\" border=\"0\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>O esquema 2 tamb\u00e9m representa a corda el\u00e1stica AB em outro instante diferente de t=0. Determine o menor intervalo de tempo entre a primeira e a segunda configura\u00e7\u00e3o<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>11-(UFV-MG)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Um aparelho de r\u00e1dio R recebe simultaneamente os sinais direto e refletido em uma camada atmosf\u00e9rica, provenientes de uma emissora E. Quando a camada est\u00e1 a uma altura H, o sinal \u00e9 forte; \u00e0 medida que a camada se desloca verticalmente a partir dessa posi\u00e7\u00e3o, o sinal enfraquece gradualmente, passa por um m\u00ednimo e recupera gradativamente o valor inicial. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Esse fen\u00f4meno se deve \u00e0:<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_22b9a470.jpg\" alt=\"\" width=\"550\" height=\"279\" name=\"Imagem 44\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) difra\u00e7\u00e3o, pois a facilidade para o sinal contornar a camada \u00e9 fun\u00e7\u00e3o da altura.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) varia\u00e7\u00e3o do \u00edndice de refra\u00e7\u00e3o da camada, que depende de sua altura em rela\u00e7\u00e3o ao n\u00edvel da Terra.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>c) interfer\u00eancia entre os sinais direto e refletido, construtiva, quando o sinal for m\u00e1ximo, e destrutiva, quando o sinal for m\u00ednimo.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>d) absor\u00e7\u00e3o do sinal pela camada, que depende de sua altura em rela\u00e7\u00e3o \u00e0 Terra.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>e) varia\u00e7\u00e3o do \u00edndice de reflex\u00e3o da camada, o qual \u00e9 uma fun\u00e7\u00e3o da altura.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>12-(UFRJ-RJ)<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0 <\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas fontes, F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, em fase, produzem ondas peri\u00f3dicas de comprimento de onda\u00a0\u03bb. A dist\u00e2ncia entre as fontes vale 5\u03bb. Alinhado com as fontes temos o ponto P, no qual as ondas tem a mesma amplitude A.<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_893ee2b.jpg\" alt=\"\" width=\"775\" height=\"84\" name=\"Imagem 45\" align=\"BOTTOM\" border=\"0\" \/><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Calcule a amplitude da onda resultante no ponto P<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>13-(UEL-PR)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Dois geradores de ondas peri\u00f3dicas situados em pontos P e Q emitem ondas de mesma amplitude e mesmo comprimento de onda. Se as ondas se anulam num ponto M, devido \u00e0 interfer\u00eancia, a dist\u00e2ncia MP \u2013 MQ, em m\u00f3dulo, pode ser igual a:<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_c6ba81ad.png\" alt=\"\" width=\"775\" height=\"16\" name=\"Picture 12\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>14-(UFMG-MG)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Em uma loja de instrumentos musicais, dois alto-falantes est\u00e3o ligados a um mesmo amplificador e este, a um microfone. Inicialmente, esses alto-falantes est\u00e3o um ao lado do outro, como representado, esquematicamente, nesta figura, vistos de cima<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_19619af7.png\" alt=\"\" width=\"398\" height=\"129\" name=\"Picture 14\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Ana produz, ao microfone, um som com freq\u00fc\u00eancia de 680 Hz e Jos\u00e9 Guilherme escuta o som produzido pelos alto-falantes. Em seguida, um dos alto-falantes \u00e9 deslocado, lentamente, de uma dist\u00e2ncia d, em dire\u00e7\u00e3o a Jos\u00e9 Guilherme. Este percebe, ent\u00e3o, que a intensidade do som diminui \u00e0 medida que esse alto-falante \u00e9 deslocado. Dado que a velocidade do som \u00e9 de 340m\/s.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) EXPLIQUE por que, na situa\u00e7\u00e3o descrita, a intensidade do som diminui.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) DETERMINE o deslocamento d necess\u00e1rio para que Jos\u00e9 Guilherme ou\u00e7a o som produzido pelos alto-falantes com intensidade m\u00ednima.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>15-(UFPE-PE)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas fontes sonoras pontuais F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, separadas entre si de 4,0 m, emitem em fase e na mesma freq\u00fc\u00eancia.<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_42a6797c.jpg\" alt=\"\" width=\"445\" height=\"216\" name=\"Imagem 47\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Um observador, se afastando lentamente da fonte F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, ao longo do eixo x, detecta o primeiro m\u00ednimo de intensidade sonora, devido \u00e0 interfer\u00eancia das ondas geradas por F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, na posi\u00e7\u00e3o x = 3,0 m. Sabendo-se que a velocidade do som \u00e9 340 m\/s, qual a freq\u00fc\u00eancia das ondas sonoras emitidas, em Hz?<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>16-(UNIFESP-SP)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas fontes, F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>B<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, separadas por uma dist\u00e2ncia de 3,0 m, emitem, continuamente e em fase, ondas sonoras com comprimentos de onda iguais. Um detector de som \u00e9 colocado em um ponto P, a uma dist\u00e2ncia de 4,0 m da fonte F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, como ilustrado na figura.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Embora o aparelho detector esteja funcionando bem, o sinal sonoro captado por ele em P, \u00e9 muito mais fraco do que aquele emitido por uma \u00fanica fonte. Pode-se dizer que<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_fb1f8c2e.jpg\" alt=\"\" width=\"349\" height=\"202\" name=\"Imagem 48\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) h\u00e1 interfer\u00eancia construtiva no ponto P e o comprimento de onda do som emitido pelas fontes \u00e9 de 5,0 m.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) h\u00e1 interfer\u00eancia destrutiva no ponto P e o comprimento de onda do som emitido pelas fontes \u00e9 de 3,0 m.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>c) h\u00e1 interfer\u00eancia construtiva no ponto P e o comprimento de onda do som emitido pelas fontes \u00e9 de 4,0 m.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>d) h\u00e1 interfer\u00eancia construtiva no ponto P e o comprimento de onda do som emitido pelas fontes \u00e9 de 2,0 m.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>e) h\u00e1 interfer\u00eancia destrutiva no ponto P e o comprimento de onda do som emitido pelas fontes \u00e9 de 2m.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>17- (FUVEST-SP)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas hastes, A e B, movendo-se verticalmente, produzem ondas em fase, que se propagam na superf\u00edcie da \u00e1gua, com mesma freq\u00fc\u00eancia f e per\u00edodo T, conforme a figura 1. No ponto P, ponto m\u00e9dio do segmento AB, uma b\u00f3ia sente o efeito das duas ondas e se movimenta para cima e para baixo.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>O gr\u00e1fico que poderia representar o deslocamento vertical y da b\u00f3ia, em rela\u00e7\u00e3o ao n\u00edvel m\u00e9dio da \u00e1gua, em fun\u00e7\u00e3o do tempo t, \u00e9<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_cc65404b.png\" alt=\"\" width=\"774\" height=\"191\" name=\"Picture 46\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>18-(UNESP-SP)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas fontes, F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, est\u00e3o emitindo sons de mesma freq\u00fc\u00eancia. Elas est\u00e3o posicionadas conforme ilustrado na figura, onde se apresenta um reticulado cuja unidade de comprimento \u00e9 dada por u = 6,0 m.<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_b8896baf.jpg\" alt=\"\" width=\"357\" height=\"240\" name=\"Imagem 50\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>No ponto P ocorre interfer\u00eancia construtiva entre as ondas e \u00e9 um ponto onde ocorre um m\u00e1ximo de intensidade. Considerando que a velocidade do som no ar \u00e9 340 m\/s e que as ondas s\u00e3o emitidas sempre em fase pelas fontes F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0, calcule<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) o maior comprimento de onda dentre os que interferem construtivamente em P.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) as duas menores freq\u00fc\u00eancias para as quais ocorre interfer\u00eancia construtiva em P.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>19-(UECE-CE)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A figura mostra dois alto-falantes A e B separados por uma dist\u00e2ncia de 2m. Os alto-falantes est\u00e3o emitindo ondas sonoras em fase e de freq\u00fc\u00eancia 0,68kHz. O ponto P mostrado na figura est\u00e1 a uma dist\u00e2ncia de 1,5m do alto-falante A.<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_e5cd1116.jpg\" alt=\"\" width=\"367\" height=\"253\" name=\"Imagem 51\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Supondo que a velocidade de propaga\u00e7\u00e3o do som no ar seja 340m\/s, a dist\u00e2ncia X m\u00ednima do alto-falante B ao ponto P para que este ponto seja um ponto nodal (ponto onde a interfer\u00eancia \u00e9 destrutiva) \u00e9:<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) 1,50m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) 1,75m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>c) 2,00m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>d) 2,50m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>e) 3,00m<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>20-(FUVEST-SP)<\/b><\/span><\/span><\/span><b> <\/b><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Duas\u00a0 fontes sonoras F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0e F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0est\u00e3o separadas de 2,5m. Dois observadores A e B est\u00e3o distantes 10m da fonte F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, sendo que o observador A est\u00e1 no eixo X e o observador B, no eixo Y, conforme figura.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>As duas fontes est\u00e3o em fase e emitem som numa freq\u00fc\u00eancia fixa f=170Hz. Num dado instante a fonte F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>2<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0come\u00e7a a deslocar-se lentamente ao longo do eixo X, afastando-se da fonte F<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>1<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>. Com esse deslocamento, os observadores detectam uma varia\u00e7\u00e3o peri\u00f3dica na intensidade do som resultante das duas fontes, passando por m\u00e1ximos e m\u00ednimos consecutivos de intensidade. Sabe-se que a velocidade do som \u00e9 de 340m\/s nas condi\u00e7\u00f5es do experimento.Levando em conta a posi\u00e7\u00e3o inicial das fontes, determine:<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_10823d9f.jpg\" alt=\"\" width=\"433\" height=\"261\" name=\"Imagem 52\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a) A separa\u00e7\u00e3o L<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>a<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0entre as fontes para a qual o observador A detecta o primeiro m\u00ednimo de intensidade.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b) A separa\u00e7\u00e3o L<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><sub><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>b<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>\u00a0entre as fontes para a qual o observador B detecta o primeiro m\u00e1ximo de intensidade.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>21-(UFMG-MG)<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_cf42a967.jpg\" alt=\"\" width=\"143\" height=\"132\" name=\"Imagem 53\" align=\"BOTTOM\" border=\"0\" \/><span style=\"color: #000000;\"><sub>\u00a0\u00a0<\/sub><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Na Figura\u00a0I, est\u00e3o representados os pulsos\u00a0P\u00a0e\u00a0Q, que est\u00e3o se propagando em uma corda e se aproximam um do outro com velocidades de mesmo m\u00f3dulo.<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_28a4fddb.jpg\" alt=\"\" width=\"774\" height=\"216\" name=\"Imagem 54\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Na Figura\u00a0II, est\u00e1 representado o pulso\u00a0P, em um instante\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><i><b>t<\/b><\/i><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>, posterior, caso ele estivesse se propagando sozinho.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A partir da an\u00e1lise dessas informa\u00e7\u00f5es, assinale a alternativa em que a forma da corda no instante\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><i><b>t\u00a0<\/b><\/i><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>est\u00e1 CORRETAMENTE\u00a0representada.<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_c461c4f4.jpg\" alt=\"\" width=\"774\" height=\"157\" name=\"Imagem 55\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><sub>\u00a0<\/sub><\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>22-(UEG-GO)<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_e2952f23.png\" alt=\"\" width=\"774\" height=\"291\" name=\"Picture 19\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>23-(FGV-SP) <\/b><\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>A figura mostra dois pulsos que se movimentam em sentidos contr\u00e1rios, um em dire\u00e7\u00e3o ao outro sobre a mesma corda, que pode ser considerada ideal.<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_d1162ea4.png\" alt=\"\" width=\"471\" height=\"103\" name=\"Picture 22\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>No momento em que houver sobreposi\u00e7\u00e3o total, a disposi\u00e7\u00e3o esperada para os pontos da corda estar\u00e1 melhor indicada por:<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_1da64153.jpg\" alt=\"\" width=\"768\" height=\"102\" name=\"Imagem 59\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: medium;\"><b>24-(UFMG-MG)<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_157bc6a0.jpg\" alt=\"\" width=\"558\" height=\"137\" name=\"Imagem 60\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Dois alto-falantes id\u00eanticos, bem pequenos, est\u00e3o ligados ao mesmo amplificador e emitem ondas sonoras em fase, em uma s\u00f3 frequ\u00eancia, com a mesma intensidade, como mostrado nessa figura.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Igor est\u00e1 posicionado no ponto O, equidistante dos dois alto-falantes, e escuta o som com grande intensidade. Ele come\u00e7a a andar ao longo da linha paralela aos alto-falantes e percebe que o som vai diminuindo de intensidade, passa por um m\u00ednimo e, depois, aumenta novamente.<\/b><\/span><\/span><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_13263e50.jpg\" alt=\"\" width=\"411\" height=\"255\" name=\"Imagem 61\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Quando Igor chega ao ponto M, a 1,0 m do ponto O, a intensidade do som alcan\u00e7a, de novo, o valor m\u00e1ximo.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Em seguida, Igor mede a dist\u00e2ncia entre o ponto M e cada um dos alto-falantes e encontra 8,0 m e 10,0m como indicado na figura.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>01- Explique por que, ao longo da linha OM, a intensidade do som varia da forma descrita e CALCULE o comprimento de onda do som emitido pelos alto-falantes.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>02- Assinalando com um X a quadr\u00edcula apropriada, responda:<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Se a frequ\u00eancia emitida pelos alto-falantes aumentar, o ponto M estar\u00e1 mais distante ou mais pr\u00f3ximo do ponto O?<\/b><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/ondulatoria\/interferencia\/i_2ac94ee7bb7d224e_html_91d863df.jpg\" alt=\"\" width=\"263\" height=\"32\" name=\"Imagem 62\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: Arial,serif;\"><span style=\"font-size: medium;\"><b>Justifique sua resposta.<\/b><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><a title=\"Resolu\u00e7\u00e3o comentada dos exerc\u00edcios de vestibulares sobre Interfer\u00eancia de Ondas\" href=\"http:\/\/fisicaevestibular.com.br\/novo\/ondulatoria\/ondas\/interferencia-de-ondas\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-interferencia-de-ondas\/\"><span style=\"color: #000080;\">Confira a resolu\u00e7\u00e3o comentada dos exerc\u00edcios<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Exerc\u00edcios de vestibulares com resolu\u00e7\u00f5es comentadas sobre Interfer\u00eancia de Ondas \u00a0 01-(UFSCAR-SP) Dois pulsos, A e B, s\u00e3o produzidos em uma corda esticada, que tem uma extremidade fixada em uma parede, conforme mostra a figura. Quando os dois pulsos se superpuserem, ap\u00f3s o pulso A ter sofrido reflex\u00e3o na parede, ocorrer\u00e1 interfer\u00eancia: a) construtiva e, em seguida, cada pulso seguir\u00e1<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2419,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-2421","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2421","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=2421"}],"version-history":[{"count":3,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2421\/revisions"}],"predecessor-version":[{"id":10916,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2421\/revisions\/10916"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2419"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2421"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}