{"id":2442,"date":"2016-09-11T00:47:20","date_gmt":"2016-09-11T00:47:20","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2442"},"modified":"2024-08-23T15:08:08","modified_gmt":"2024-08-23T15:08:08","slug":"resolucao-comentada-dos-exercicios-de-vestibulares-sobre-interferencia-luminosa","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/ondulatoria\/ondas\/interferencia-luminosa-experimento-de-young\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-interferencia-luminosa\/","title":{"rendered":"Interfer\u00eancia Luminosa – Resolu\u00e7\u00e3o"},"content":{"rendered":"

Resolu\u00e7\u00e3o comentada dos exerc\u00edcios de vestibulares sobre<\/b><\/span><\/span><\/span> \u00a0<\/b><\/span><\/span><\/span><\/p>\n

Interfer\u00eancia Luminosa \u2013 Experimento de Young<\/b><\/span><\/span><\/span><\/p>\n

01-<\/b><\/span><\/span><\/span> <\/b>B\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

02-<\/b><\/span><\/span><\/span> <\/b>A\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

03-<\/b><\/span><\/span><\/span> <\/b>A<\/b><\/span><\/span><\/span><\/p>\n

04-<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u03bb=2.d.<\/b><\/span><\/span><\/span>y<\/span><\/span><\/span>\/n.D\u00a0 — duas franjas brilhantes (construtiva), n \u00e9 par e n=2(entre a central e a primeira)\u00a0 —\u00a0\u00a0 512.10<\/b><\/span><\/span><\/span>-9<\/b><\/span><\/span><\/sup><\/span>.10<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>=2.1,2.Y\/2.5,4.10<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>\u00a0 —\u00a0 Y=2.304.10<\/b><\/span><\/span><\/span>-3<\/b><\/span><\/span><\/sup><\/span>=2,304 —\u00a0 R- A<\/b><\/span><\/span><\/span><\/p>\n

05-<\/b><\/span><\/span><\/span> <\/b>Terceiro m\u00e1ximo (n \u00e9 par) lateral \u00a0—\u00a0 n=6\u00a0 —\u00a0\u00a0\u03bb=2.d.Y\/n.D\u00a0 —\u00a0 5.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>=2.10<\/b><\/span><\/span><\/span>-5<\/b><\/span><\/span><\/sup><\/span>Y\/6.1\u00a0 —\u00a0\u00a0Y=0,15m=15cm<\/b><\/span><\/span><\/span><\/p>\n

06-<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u03bb=2.d.Y\/n.D\u00a0 —\u00a0\u00a0l=2.0,1.10<\/b><\/span><\/span><\/span>-3<\/b><\/span><\/span><\/sup><\/span>.4.10<\/b><\/span><\/span><\/span>-3<\/b><\/span><\/span><\/sup><\/span>\/2.0,5\u00a0 —\u00a0\u00a0l=8.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>=800.10<\/b><\/span><\/span><\/span>-9<\/b><\/span><\/span><\/sup><\/span>=800nm\u00a0 —\u00a0 R- C<\/b><\/span><\/span><\/span><\/p>\n

07-<\/b><\/span><\/span><\/span> <\/b>C<\/b><\/span><\/span><\/span><\/p>\n

08-<\/b><\/span><\/span><\/span> <\/b>C\u00e1lculo do comprimento de onda\u00a0\u03bb\u00a0 —\u00a0 V=\u03bbf\u00a0 —\u00a0 3.10<\/b><\/span><\/span><\/span>8<\/b><\/span><\/span><\/sup><\/span>=\u03bb6.10<\/b><\/span><\/span><\/span>14\u00a0\u00a0<\/b><\/span><\/span><\/sup><\/span>—\u00a0\u03bb=5.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>m\u00a0 — \u00a0a diferen\u00e7a entre os percursos a e b \u00e9 dada por b-a=n.(\u03bb\/2)\u00a0 —\u00a0 sendo n \u00edmpar, pois em P temos interfer\u00eancia destrutiva e n=3 (vide figura, \u00e9 a segunda interfer\u00eancia destrutiva\u00a0 —\u00a0 b-a=3.5.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>\/2\u00a0 —\u00a0\u00a0b-a=7,5.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>m\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

09-<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u03bb=2dy\/nD\u00a0 —\u00a0 dois m\u00e1ximos cont\u00edguos n=2\u00a0 —\u00a0\u03bb=2.1.0,75\/2.1,5.10<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>\u00a0 —\u00a0\u00a0\u03bb=75.10<\/b><\/span><\/span><\/span>-2<\/b><\/span><\/span><\/sup><\/span>\/15.10<\/b><\/span><\/span><\/span>2\u00a0 —\u00a0\u00a0<\/b><\/span><\/span><\/sup><\/span><\/p>\n

\u03bb=5.10<\/b><\/span><\/span><\/span>-4<\/b><\/span><\/span><\/sup><\/span>\u00a0mm<\/b><\/span><\/span><\/span><\/p>\n

10-<\/b><\/span><\/span><\/span><\/p>\n

a)\u00a0<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>=2dY\/nD\u00a0 —\u00a0\u00a0<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>=2.10<\/b><\/span><\/span><\/span>-4<\/b><\/span><\/span><\/sup><\/span>.2.10<\/b><\/span><\/span><\/span>-3<\/b><\/span><\/span><\/sup><\/span>\/2.5.10<\/b><\/span><\/span><\/span>-1<\/b><\/span><\/span><\/sup><\/span>\u00a0 —\u00a0\u00a0<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>=4.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span><\/p>\n

b) V=<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>f\u00a0 —\u00a0 3.10<\/b><\/span><\/span><\/span>8<\/b><\/span><\/span><\/sup><\/span>=4.10<\/b><\/span><\/span><\/span>-7<\/b><\/span><\/span><\/sup><\/span>f\u00a0 —\u00a0 f=7,5.10<\/b><\/span><\/span><\/span>14<\/b><\/span><\/span><\/sup><\/span>Hz<\/b><\/span><\/span><\/span><\/p>\n

c) Quando as fendas aumentam temos franjas menos definidas e quando diminuem mais definidas.<\/b><\/span><\/span><\/span><\/p>\n

11-<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>O filme possui uma forma de cunha, pois, devido \u00e0 gravidade a \u00e1gua do mesmo desce para a parte inferior, que fica mais grossa que a superior, aumentando assim sua espessura e\u00a0 —\u00a0 ocorrem duas reflex\u00f5es, uma com invers\u00e3o de fase na face 1 e outra sem invers\u00e3o de fase na face interna 2 e, em seguida pode ocorrer interfer\u00eancias entre as radia\u00e7\u00f5es incidentes e a refletidas\u00a0 — a express\u00e3o e =n.<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>\u00a0mostra a rela\u00e7\u00e3o entre a espessura\u00a0e, o numero inteiro\u00a0n\u00a0de comprimentos de onda\u00a0<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>\u00a0 —\u00a0 essa rela\u00e7\u00e3o mostra a possibilidade de ocorr\u00eancias de interfer\u00eancias construtiva ou destrutiva\u00a0 —\u00a0 observe na express\u00e3o e=n.<\/b><\/span><\/span><\/span>\u03bb<\/b><\/span><\/span><\/span><\/span>\u00a0que a espessura e o comprimento de onda s\u00e3o diretamente proporcionais o que implica que na parte superior do filme de menor espessura ocorre interfer\u00eancia para menor comprimento de onda, que corresponde \u00e0 cor azul que possui comprimento de onda menor que a cor vermelha.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

\u00a0<\/span><\/p>\n

12-<\/b><\/span><\/span><\/span><\/p>\n

I. Falsa\u00a0 —\u00a0 \u03bb=2.dY\/nD\u00a0 —\u00a0 Y=nD\u03bb\/2d\u00a0 —\u00a0 n=13\u00a0 —\u00a0 \u03b3=13D\u03bb\/2d<\/b><\/span><\/span><\/span>\"\"<\/p>\n

II. Correta\u00a0 —\u00a0 \u00e9 o comprimento de onda \u03bb.<\/b><\/span><\/span><\/span><\/p>\n

III.Falsa\u00a0 —\u00a0 O f\u00edsico e m\u00e9dico ingl\u00eas Thomas Young (1773-18290), atrav\u00e9s desta experi\u00eancia, demonstrou que a luz possu\u00eda natureza ondulat\u00f3ria, pois os fen\u00f4menos de difra\u00e7\u00e3o e interfer\u00eancia descritos nessa experi\u00eancia, s\u00e3o de caracter\u00edsticas exclusivamente ondulat\u00f3rias.<\/b><\/span><\/span><\/span><\/p>\n

IV- Falsa\u00a0 —\u00a0 -O tamanho das fendas est\u00e1 relacionado com a defini\u00e7\u00e3o das franjas. Quando as fendas aumentam temos franjas menos definidas e quando diminuem, mais definidas.<\/b><\/span><\/span><\/span><\/p>\n

V. Correta\u00a0 —\u00a0 entre a primeira e a segunda n \u00e9 par e n=2\u00a0 —\u00a0 Y=2D\u03bb\/2d= Y=D\u03bb\/d=<\/b><\/span><\/span><\/span><\/p>\n

R- D.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

Voltar para os exerc\u00edcios<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

Resolu\u00e7\u00e3o comentada dos exerc\u00edcios de vestibulares sobre \u00a0 Interfer\u00eancia Luminosa \u2013 Experimento de Young 01- B\u00a0\u00a0\u00a0 02- A\u00a0\u00a0\u00a0 03- A 04-\u00a0\u03bb=2.d.y\/n.D\u00a0 — duas franjas brilhantes (construtiva), n \u00e9 par e n=2(entre a central e a primeira)\u00a0 —\u00a0\u00a0 512.10-9.103=2.1,2.Y\/2.5,4.103\u00a0 —\u00a0 Y=2.304.10-3=2,304 —\u00a0 R- A 05- Terceiro m\u00e1ximo (n \u00e9 par) lateral \u00a0—\u00a0 n=6\u00a0 —\u00a0\u00a0\u03bb=2.d.Y\/n.D\u00a0 —\u00a0 5.10-7=2.10-5Y\/6.1\u00a0 —\u00a0\u00a0Y=0,15m=15cm 06-\u00a0\u03bb=2.d.Y\/n.D\u00a0 —\u00a0\u00a0l=2.0,1.10-3.4.10-3\/2.0,5\u00a0 —\u00a0\u00a0l=8.10-7=800.10-9=800nm\u00a0 —\u00a0<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2438,"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-2442","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2442","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=2442"}],"version-history":[{"count":3,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2442\/revisions"}],"predecessor-version":[{"id":10919,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2442\/revisions\/10919"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2438"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}