{"id":2631,"date":"2016-11-11T02:44:35","date_gmt":"2016-11-11T02:44:35","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2631"},"modified":"2024-09-02T14:56:07","modified_gmt":"2024-09-02T14:56:07","slug":"dioptro-plano-laminas-de-faces-paralelas-prismas","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/dioptro-plano-laminas-de-faces-paralelas-prismas\/","title":{"rendered":"Dioptro plano – L\u00e2minas de faces paralelas \u2013 Prismas"},"content":{"rendered":"

Racioc\u00ednio L\u00f3gico<\/b><\/span><\/span><\/span><\/span><\/p>\n

Dioptro plano – L\u00e2minas de faces paralelas \u2013 Prismas<\/span><\/span><\/span><\/span><\/span><\/p>\n

Formul\u00e1rio<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Como esse conte\u00fado envolve muita teoria, em caso de d\u00favidas voc\u00ea pode encontr\u00e1-la em <\/span><\/span><\/span>fisicaevestibular.com.br \u2013 \u00d3PTICA – Dioptro plano – L\u00e2minas de faces paralelas \u2013 Prismas<\/span><\/span><\/span><\/span><\/span><\/p>\n

01- MACKENZIE)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

De <\/b><\/span><\/span>acordo com o desenho <\/b><\/span><\/span>a seguir, <\/b><\/span><\/span>consideremos para um determinado instante a seguinte situa\u00e7\u00e3o:<\/b><\/span><\/span><\/span><\/span><\/p>\n

\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\"\"<\/span><\/p>\n

Admitindo-se que:<\/b><\/span><\/span><\/span><\/span><\/p>\n

1) <\/b><\/span><\/span>A<\/b><\/span><\/span> seja uma <\/b><\/span><\/span>andorinha que se encontra a 10m da superf\u00edcie livre do l\u00edquido;<\/b><\/span><\/span><\/span><\/span><\/p>\n

2) <\/b><\/span><\/span>P<\/b><\/span><\/span> seja um <\/b><\/span><\/span>peixe que se encontra a uma profundidade h da superf\u00edcie S;<\/b><\/span><\/span><\/span><\/span><\/p>\n

3) n = 1,3 seja o \u00edndice de refra\u00e7\u00e3o absoluto da \u00e1gua.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Podemos afirmar <\/b><\/span><\/span>que:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>o <\/b><\/span><\/span>peixe ver\u00e1 a andorinha <\/b><\/span><\/span>s\u00f3 se estiver a <\/b><\/span><\/span>10m de profundidade;\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>o <\/b><\/span><\/span>peixe ver\u00e1 a andorinha <\/b><\/span><\/span>a uma <\/b><\/span><\/span>altura aparente de 5,0m;<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>o <\/b><\/span><\/span>peixe ver\u00e1 a andorinha <\/b><\/span><\/span>a uma <\/b><\/span><\/span>altura aparente de 13m acima da superf\u00edcie da \u00e1gua;\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>o <\/b><\/span><\/span>peixe n\u00e3o ver\u00e1 a andorinha, <\/b><\/span><\/span>pois a luz <\/b><\/span><\/span>n\u00e3o se propaga de um meio mais refringente para outro de\u00a0menor\u00a0refring\u00eancia\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span>o <\/b><\/span><\/span>peixe ver\u00e1 a andorinha <\/b><\/span><\/span>a uma <\/b><\/span><\/span>altura aparente de 26m<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

02-(UNIFESP-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Na <\/b><\/span><\/span>figura, P<\/b><\/span><\/span> representa um <\/b><\/span><\/span>peixinho no interior de um aqu\u00e1rio a 13 cm de profundidade <\/b><\/span><\/span>em rela\u00e7\u00e3o \u00e0 <\/b><\/span><\/span>superf\u00edcie da \u00e1gua.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Um <\/b><\/span><\/span>garoto v\u00ea esse peixinho atrav\u00e9s da superf\u00edcie livre do aqu\u00e1rio, <\/b><\/span><\/span>olhando de <\/b><\/span><\/span>duas posi\u00e7\u00f5es O<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0e O<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>.<\/b><\/span><\/span><\/span><\/span>\"\"<\/p>\n

 <\/p>\n

Sendo <\/b><\/span><\/span>n<\/b><\/span><\/span>\u00e1gua<\/b><\/span><\/sub><\/span>=1,3 o \u00edndice de refra\u00e7\u00e3o da \u00e1gua e n<\/b><\/span><\/span>ar<\/b><\/span><\/sub><\/span>=1,0 o \u00edndice de refra\u00e7\u00e3o do ar, <\/b><\/span><\/span>pode-se <\/b><\/span><\/span>afirmar<\/b><\/span><\/span> que o <\/b><\/span><\/span>garoto v\u00ea o peixinho a uma profundidade de:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>10 cm, de ambas as posi\u00e7\u00f5es\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) 17 cm<\/b><\/span><\/span>, de ambas as posi\u00e7\u00f5es\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) 10 cm <\/b><\/span><\/span>em O<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0e 17 cm em O<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span><\/span><\/span><\/p>\n

d) 10 cm <\/b><\/span><\/span>em O<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0e a uma profundidade maior que 10 cm em O<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

e) 10cm<\/b><\/span><\/span>em O<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0e a uma profundidade menor que 10cm em O<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span><\/span><\/span><\/p>\n

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

03-(UFU-MG)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A profundidade de uma piscina \u00e9 tal que sua parede, revestida com azulejos quadrados de 12 cm de lado, cont\u00e9m 12 azulejos justapostos verticalmente.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Um banhista, na borda da piscina, cheia de \u00e1gua (n\u00e1gua=4\/3), olhando quase perpendicularmente, ver\u00e1 a parede da piscina formada por:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) 12 azulejos <\/b><\/span><\/span>de <\/b><\/span><\/span>9cm<\/b><\/span><\/span> de lado vertical\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

b) 9 azulejos <\/b><\/span><\/span>de <\/b><\/span><\/span>16cm<\/b><\/span><\/span> de lado vertical\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) 16 azulejos <\/b><\/span><\/span>de <\/b><\/span><\/span>9cm<\/b><\/span><\/span> de lado vertical<\/b><\/span><\/span><\/span><\/span><\/p>\n

d) 12 azulejos <\/b><\/span><\/span>de <\/b><\/span><\/span>12cm<\/b><\/span><\/span>de lado vertical\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

e) 9 azulejos <\/b><\/span><\/span>de <\/b><\/span><\/span>12cm <\/b><\/span><\/span>de lado vertical<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

04-(UFBA-BA)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

Um <\/b><\/span><\/span>objeto pontual P <\/b><\/span><\/span>encontra-se na <\/b><\/span><\/span>base de um recipiente que cont\u00e9m duas camadas de l\u00edquidos<\/b><\/span><\/span>, A<\/b><\/span><\/span> e <\/b><\/span><\/span>B,<\/b><\/span><\/span>\u00a0 <\/b><\/span><\/span>com <\/b><\/span><\/span>espessuras e<\/b><\/span><\/span>A<\/b><\/span><\/sub><\/span>=28cm e e<\/b><\/span><\/span>B<\/b><\/span><\/sub><\/span>=39cm. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Os <\/b><\/span><\/span>l\u00edquidos<\/b><\/span><\/span> s\u00e3o <\/b><\/span><\/span>homog\u00eaneos,\u00a0 transparentes e imisc\u00edveis. <\/b><\/span><\/span>Considere o <\/b><\/span><\/span>\u00edndice de\u00a0refra\u00e7\u00e3o do ar igual a 1 e os dos l\u00edquidos A e B iguais\u00a0 a 1,4 e 1,3, respectivamente. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Determine a <\/b><\/span><\/span>altura aparente de P, <\/b><\/span><\/span>vista por um <\/b><\/span><\/span>observador, olhando numa dire\u00e7\u00e3o aproximadamente perpendicular \u00e0 base do recipiente.<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

05-(FUVEST-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Certa <\/b><\/span><\/span>m\u00e1quina fotogr\u00e1fica \u00e9 fixada a uma dist\u00e2ncia D<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0da <\/b><\/span><\/span>superf\u00edcie de uma mesa, <\/b><\/span><\/span>montada de tal <\/b><\/span><\/span>forma a fotografar, com nitidez, um desenho em uma folha de papel que est\u00e1 sobre a mesa.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Desejando <\/b><\/span><\/span>manter a folha esticada, <\/b><\/span><\/span>\u00e9 <\/b><\/span><\/span>colocada uma placa de vidro, com 5 cm de espessura,\u00a0 <\/b><\/span><\/span>sobre a <\/b><\/span><\/span>mesma.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Nessa <\/b><\/span><\/span>nova situa\u00e7\u00e3o, <\/b><\/span><\/span>pode-se fazer com que a <\/b><\/span><\/span>fotografia continue igualmente n\u00edtida<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) aumentando D<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>de menos de<\/b><\/span><\/span>5 cm\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) aumentando D<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0de mais de <\/b><\/span><\/span>5 cm\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

c) reduzindo D<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>de menos de <\/b><\/span><\/span>5 cm\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

d) reduzindo D<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>de <\/b><\/span><\/span>5 cm\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

e) reduzindo D<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>de mais de <\/b><\/span><\/span>5 cm<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

06-(UFRN-RN)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>observador, quando colocado numa posi\u00e7\u00e3o adequada,<\/b><\/span><\/span> pode ver o <\/b><\/span><\/span>canto do recipiente como representado na figura abaixo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Enchendo <\/b><\/span><\/span>o recipiente com um <\/b><\/span><\/span>l\u00edquido, o observador passa a ver a moeda que est\u00e1 colocada no centro.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Qual o <\/b><\/span><\/span>\u00edndice de refra\u00e7\u00e3o do l\u00edquido?(Dados:<\/b><\/span><\/span> sen45<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>=\u221a2\/2<\/b><\/span><\/span>; \u00edndice de refra\u00e7\u00e3o do ar<\/b><\/span><\/span>=1,0)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

07-(UNIRIO-RJ)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>c\u00e3o est\u00e1 diante de uma mesa,<\/b><\/span><\/span> observando <\/b><\/span><\/span>um peixinho dentro do aqu\u00e1rio, <\/b><\/span><\/span>conforme\u00a0 representado na figura. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Ao <\/b><\/span><\/span>mesmo tempo, o peixinho tamb\u00e9m observa o c\u00e3o. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Em <\/b><\/span><\/span>rela\u00e7\u00e3o \u00e0 parede P do aqu\u00e1rio e \u00e0s dist\u00e2ncias reais, podemos afirmar que as imagens observadas por cada um dos animais obedecem \u00e0s seguintes rela\u00e7\u00f5es:<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) <\/b><\/span><\/span>O <\/b><\/span><\/span>c\u00e3o observa o olho do peixinho mais pr\u00f3ximo da parede P, <\/b><\/span><\/span>enquanto o <\/b><\/span><\/span>peixinho observa o olho do c\u00e3o mais distante do aqu\u00e1rio.<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>O <\/b><\/span><\/span>c\u00e3o observa o olho do peixinho mais distante da parede P,<\/b><\/span><\/span> enquanto o <\/b><\/span><\/span>peixinho observa o olho do c\u00e3o mais pr\u00f3ximo do aqu\u00e1rio.<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>O <\/b><\/span><\/span>c\u00e3o observa o olho do peixinho mais pr\u00f3ximo da parede P, <\/b><\/span><\/span>enquanto o <\/b><\/span><\/span>peixinho observa o olho do c\u00e3o mais pr\u00f3ximo do aqu\u00e1rio.<\/b><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>O <\/b><\/span><\/span>c\u00e3o observa o olho do peixinho mais distante da parede P, <\/b><\/span><\/span>enquanto o <\/b><\/span><\/span>peixinho observa o olho do c\u00e3o tamb\u00e9m mais distante do aqu\u00e1rio.<\/b><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span>O <\/b><\/span><\/span>c\u00e3o e o peixinho observam o olho um do outro, em rela\u00e7\u00e3o \u00e0 parede P, em dist\u00e2ncias iguais \u00e0s dist\u00e2ncias reais que eles ocupam na figura.<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

08-(FUVEST-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>jovem pesca em uma lagoa de \u00e1gua transparente, <\/b><\/span><\/span>utilizando, para isto, <\/b><\/span><\/span>uma lan\u00e7a. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Ao <\/b><\/span><\/span>enxergar um peixe, ele atira sua lan\u00e7a na dire\u00e7\u00e3o em que o observa. <\/b><\/span><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span>jovem est\u00e1 fora da \u00e1gua e o peixe est\u00e1 1 m abaixo da superf\u00edcie.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A lan\u00e7a <\/b><\/span><\/span>atinge a \u00e1gua a umadist\u00e2ncia x = 90 cm da dire\u00e7\u00e3o vertical em que o peixe se encontra, como ilustra a figura abaixo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Para <\/b><\/span><\/span>essas condi\u00e7\u00f5es, <\/b><\/span><\/span>determine:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>O <\/b><\/span><\/span>\u00e2ngulo \u03b1,<\/b><\/span><\/span> de <\/b><\/span><\/span>incid\u00eancia na superf\u00edcie da \u00e1gua, <\/b><\/span><\/span>da luz <\/b><\/span><\/span>refletida pelo peixe.<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>O <\/b><\/span><\/span>\u00e2ngulo \u03b2<\/b><\/span><\/span> que a <\/b><\/span><\/span>lan\u00e7a faz com a superf\u00edcie da \u00e1gua.<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>A<\/b><\/span><\/span>dist\u00e2ncia y, da superf\u00edcie da \u00e1gua, em que o jovem enxerga o peixe.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

09-(UFRGS-RS)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Na figura a seguir, <\/b><\/span><\/span>um <\/b><\/span><\/span>feixe de luz monocrom\u00e1tica I, <\/b><\/span><\/span>proveniente <\/b><\/span><\/span>do ar, <\/b><\/span><\/span>incide sobre uma <\/b><\/span><\/span>placa de vidro de faces planas e paralelas, <\/b><\/span><\/span>sofrendo <\/b><\/span><\/span>reflex\u00f5es e refra\u00e7\u00f5es em ambas as faces da placa.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Na figura,\u00a0<\/b><\/span><\/span>\u04e9<\/b><\/span><\/span>i<\/b><\/span><\/sub><\/span>\u00a0representa o \u00e2ngulo formado pela dire\u00e7\u00e3o do feixe incidente com a normal \u00e0 superf\u00edcie <\/b><\/span><\/span>no <\/b><\/span><\/span>ponto A, <\/b><\/span><\/span>e\u00a0<\/b><\/span><\/span>\u04e9<\/b><\/span><\/span>r<\/b><\/span><\/sub><\/span>\u00a0 representa o \u00e2ngulo formado pela dire\u00e7\u00e3o da parte refratada desse feixe com a normal no mesmo ponto A.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Quais \u00e2ngulos s\u00e3o iguais a\u00a0\u04e9<\/b><\/span><\/span>i<\/b><\/span><\/sub><\/span>\u00a0e \u04e9<\/b><\/span><\/span>r<\/b><\/span><\/sub><\/span>?<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

10-(FUVEST-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Numa <\/b><\/span><\/span>folha de papel num plano horizontal, <\/b><\/span><\/span>est\u00e1 <\/b><\/span><\/span>desenhado um c\u00edrculo de centro C. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Sobre a folha <\/b><\/span><\/span>\u00e9 colocada uma <\/b><\/span><\/span>placa grossa de vidro, cobrindo metade do c\u00edrculo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span>figura a seguir mostra uma pessoa olhando para o c\u00edrculo, <\/b><\/span><\/span>com <\/b><\/span><\/span>seu olho no eixo vertical OC.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span>alternativa que melhor representa o que a pessoa enxerga \u00e9:<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

11-(ITA-SP)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma l\u00e2mina de faces paralelas de espessura 4\u221a3 cm <\/b><\/span><\/span>\u00e9 constitu\u00edda de um <\/b><\/span><\/span>material de \u00edndice de refra\u00e7\u00e3o \u221a3. Um feixe<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um feixeluminoso,<\/b><\/span><\/span> propagando-se no <\/b><\/span><\/span>ar, encontra a l\u00e2mina, formando um \u00e2ngulo de 60<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>\u00a0<\/b><\/span><\/span>com a <\/b><\/span><\/span>normal.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Determine<\/b><\/span><\/span> o <\/b><\/span><\/span>desvio sofrido pelo raio luminoso incidente.<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

12-(UFRJ-RJ)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

 <\/p>\n

Uma <\/b><\/span><\/span>l\u00e2mina homog\u00eanea de faces paralelas <\/b><\/span><\/span>\u00e9 constitu\u00edda de um <\/b><\/span><\/span>material com \u00edndice de refra\u00e7\u00e3o n<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>=1,5. <\/b><\/span><\/span><\/span><\/span><\/p>\n

De um lado da <\/b><\/span><\/span>l\u00e2mina, h\u00e1 um meio homog\u00eaneo de \u00edndice de refra\u00e7\u00e3o n<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>=2,0; <\/b><\/span><\/span>do <\/b><\/span><\/span>outro lado, h\u00e1 ar, cujo \u00edndice de refra\u00e7\u00e3o n<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0consideramos igual a 1,0. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Um <\/b><\/span><\/span>raio luminoso proveniente do primeiro meio incide sobre a l\u00e2mina com \u00e2ngulo de incid\u00eancia \u03b8<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>, como indica a figura.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Calcule o <\/b><\/span><\/span>valor de \u03b8<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0a partir do qual o raio que atravessa a l\u00e2mina sofra reflex\u00e3o total na interface com o ar.<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

 <\/p>\n

 <\/p>\n

13-\u00a0(PUC-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>raio de luz monocrom\u00e1tica <\/b><\/span><\/span>incide <\/b><\/span><\/span>perpendicularmente em uma das faces de um prisma equil\u00e1tero <\/b><\/span><\/span>e <\/b><\/span><\/span>emerge de forma rasante pela outra face. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Considerando<\/b><\/span><\/span>\u221a3=1,73 <\/b><\/span><\/span>e supondo o <\/b><\/span><\/span>prisma imerso no ar, <\/b><\/span><\/span>cujo <\/b><\/span><\/span>\u00edndice de refra\u00e7\u00e3o \u00e9 1, <\/b><\/span><\/span>o <\/b><\/span><\/span>\u00edndice de refra\u00e7\u00e3o do material que constitui o prisma ser\u00e1, <\/b><\/span><\/span>aproximadamente,<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

14-(ITA-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>prisma de vidro, <\/b><\/span><\/span>de <\/b><\/span><\/span>\u00edndice de refra\u00e7\u00e3o n=\u221a2, <\/b><\/span><\/span>tem por <\/b><\/span><\/span>sec\u00e7\u00e3o normal um tri\u00e2ngulo ret\u00e2ngulo is\u00f3sceles ABC no plano vertical.<\/b><\/span><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span>volume de sec\u00e7\u00e3o transversal ABD <\/b><\/span><\/span>\u00e9 mantido <\/b><\/span><\/span>cheio de um l\u00edquido de \u00edndice de refra\u00e7\u00e3o n’=\u221a3. <\/b><\/span><\/span><\/span><\/span>\"\"<\/p>\n

Um raio <\/b><\/span><\/span>incide <\/b><\/span><\/span>normalmente \u00e0 face transparente da parede vertical BD e atravessa o l\u00edquido.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Considere as <\/b><\/span><\/span>seguintes afirma\u00e7\u00f5es:<\/b><\/span><\/span><\/span><\/span><\/p>\n

I) <\/b><\/span><\/span>O <\/b><\/span><\/span>raio luminoso n\u00e3o penetrar\u00e1 <\/b><\/span><\/span>no prisma.<\/b><\/span><\/span><\/span><\/span><\/p>\n

II)<\/b><\/span><\/span>O <\/b><\/span><\/span>\u00e2ngulo de refra\u00e7\u00e3o na face AB <\/b><\/span><\/span>\u00e9 de <\/b><\/span><\/span>45\u00b0.<\/b><\/span><\/span><\/span><\/span><\/p>\n

III) <\/b><\/span><\/span>O <\/b><\/span><\/span>raio emerge do prisma pela face AC <\/b><\/span><\/span>com <\/b><\/span><\/span>\u00e2ngulo de refra\u00e7\u00e3o de 45\u00b0.<\/b><\/span><\/span><\/span><\/span><\/p>\n

IV) <\/b><\/span><\/span>O <\/b><\/span><\/span>raio emergente definitivo \u00e9 paralelo ao raio incidente em BD.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Das <\/b><\/span><\/span>afirmativas mencionadas,<\/b><\/span><\/span> \u00e9 (s\u00e3o) correta (s):<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

15-(UNIFESP-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>raio<\/b><\/span><\/span> de <\/b><\/span><\/span>luz monocrom\u00e1tico, propagando-se no ar, incide perpendicularmente \u00e0 face AB de um prisma de vidro, <\/b><\/span><\/span>cuja <\/b><\/span><\/span>sec\u00e7\u00e3o reta <\/b><\/span><\/span>\u00e9 <\/b><\/span><\/span>apresentada na figura. <\/b><\/span><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span>face AB <\/b><\/span><\/span>\u00e9 <\/b><\/span><\/span>paralela \u00e0 DC <\/b><\/span><\/span>e a <\/b><\/span><\/span>face AD <\/b><\/span><\/span>\u00e9 <\/b><\/span><\/span>paralela \u00e0 BC.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considerando que as <\/b><\/span><\/span>faces DC e BC formam um \u00e2ngulo de 45\u00b0 <\/b><\/span><\/span>e que o <\/b><\/span><\/span>\u00e2ngulo limite de refra\u00e7\u00e3o para esse raio, quando se propaga do vidro para o ar, \u00e9 42\u00b0, <\/b><\/span><\/span>o <\/b><\/span><\/span>percurso <\/b><\/span><\/span>que <\/b><\/span><\/span>melhor representa a trajet\u00f3ria do raio de luz \u00e9<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

16-(UFG-GO)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Com a <\/b><\/span><\/span>finalidade de obter um efeito visual, <\/b><\/span><\/span>atrav\u00e9s da <\/b><\/span><\/span>propaga\u00e7\u00e3o da luz em meios homog\u00eaneos, <\/b><\/span><\/span>colocou-se <\/b><\/span><\/span>dentro de um aqu\u00e1rio um prisma triangular feito de vidro crown, conforme mostra a figura a seguir.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>feixe de luz violeta, <\/b><\/span><\/span>ap\u00f3s <\/b><\/span><\/span>refratar-se na parede do aqu\u00e1rio, <\/b><\/span><\/span>incidiu <\/b><\/span><\/span>perpendicularmente sobre a face A do prisma, atingindo a face B.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Com <\/b><\/span><\/span>base nesses dados <\/b><\/span><\/span>e <\/b><\/span><\/span>conhecidos os \u00edndices de refra\u00e7\u00e3o do prisma e do l\u00edquido, <\/b><\/span><\/span>respectivamente, <\/b><\/span><\/span>1,52 e 1,33, <\/b><\/span><\/span>conclui-se que o <\/b><\/span><\/span>efeito obtido foi um feixe de luz emergindo da face<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) B,<\/b><\/span><\/span> por causa da <\/b><\/span><\/span>refra\u00e7\u00e3o em B.<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) C, <\/b><\/span><\/span>por causa da <\/b><\/span><\/span>reflex\u00e3o total em B.<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) B, <\/b><\/span><\/span>por causa da <\/b><\/span><\/span>reflex\u00e3o total em B e C.<\/b><\/span><\/span><\/span><\/span><\/p>\n

d) C,<\/b><\/span><\/span> por causa da <\/b><\/span><\/span>reflex\u00e3o em B seguida de refra\u00e7\u00e3o em C.<\/b><\/span><\/span><\/span><\/span><\/p>\n

e) A,<\/b><\/span><\/span> por causa das <\/b><\/span><\/span>reflex\u00f5es em B e C e refra\u00e7\u00e3o em A.<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

17-(FUVEST-SP)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>raio monocrom\u00e1tico <\/b><\/span><\/span>de <\/b><\/span><\/span>luz<\/b><\/span><\/span> incide no <\/b><\/span><\/span>ponto A de uma das faces de um prisma feito de vidro <\/b><\/span><\/span>e <\/b><\/span><\/span>imerso no ar. <\/b><\/span><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span>figura 1representa apenas o raio incidente <\/b><\/span><\/span>e o <\/b><\/span><\/span>raio refratado num plano normal \u00e0s faces do prisma, <\/b><\/span><\/span>cujas <\/b><\/span><\/span>arestas s\u00e3o representadas pelos pontos P, S e T, formando um tri\u00e2ngulo equil\u00e1tero.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Os pontos <\/b><\/span><\/span>A, B e C tamb\u00e9m formam um tri\u00e2ngulo equil\u00e1tero<\/b><\/span><\/span>e s\u00e3o, <\/b><\/span><\/span>respectivamente,equidistantes<\/b><\/span><\/span>de <\/b><\/span><\/span>P e S, S e T, e T e P. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Considere os <\/b><\/span><\/span>raios E<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>, E<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>, E<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>, E<\/b><\/span><\/span>4<\/b><\/span><\/sub><\/span>\u00a0e E<\/b><\/span><\/span>5<\/b><\/span><\/sub><\/span>, que se afastam do prisma, representados na figura 2.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Podemos afirmar <\/b><\/span><\/span>que os <\/b><\/span><\/span>raios compat\u00edveis com as reflex\u00f5es e refra\u00e7\u00f5es <\/b><\/span><\/span>sofridas pelo <\/b><\/span><\/span>raio incidente, no prisma, <\/b><\/span><\/span>s\u00e3o:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>somente E<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>somente E<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0e E<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>somente E<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>\u00a0e E<\/b><\/span><\/span>5<\/b><\/span><\/sub><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>somente E<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>, E<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0e E<\/b><\/span><\/span>4<\/b><\/span><\/sub><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span>todos<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

18-(UNICAMP-SP)<\/b><\/span><\/span>Um <\/b><\/span><\/span>tipo de sinaliza\u00e7\u00e3o utilizado em estradas e avenidas <\/b><\/span><\/span>\u00e9 o chamado <\/b><\/span><\/span>olho-de-gato,<\/b><\/span><\/span> o qual <\/b><\/span><\/span>consiste na justaposi\u00e7\u00e3o de v\u00e1rios prismas retos feitos <\/b><\/span><\/span>de <\/b><\/span><\/span>pl\u00e1sticos que refletem a luz incidente dos far\u00f3is dos autom\u00f3veis.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) Reproduza<\/b><\/span><\/span> o <\/b><\/span><\/span>prisma ABC <\/b><\/span><\/span>representado na <\/b><\/span><\/span>figura abaixo <\/b><\/span><\/span>e <\/b><\/span><\/span>desenhe a trajet\u00f3ria <\/b><\/span><\/span>de um <\/b><\/span><\/span>raio de luz que incide perpendicularmente sobre a face OG e sofre reflex\u00f5es totais nas superf\u00edcies AC e BC.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

b) <\/b><\/span><\/span>Determine o <\/b><\/span><\/span>m\u00ednimo valor do \u00edndice de refra\u00e7\u00e3o do pl\u00e1stico acima do qual o prisma funciona <\/b><\/span><\/span>como um <\/b><\/span><\/span>refletor perfeito de luz <\/b><\/span><\/span>(toda luz que incide perpendicularmente \u00e0 superf\u00edcie OG \u00e9 refletida). Considere o <\/b><\/span><\/span>prisma no ar, <\/b><\/span><\/span>onde o <\/b><\/span><\/span>\u00edndice de refra\u00e7\u00e3o vale 1,0.<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

19-(FUVEST-SP)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>Luz proveniente <\/b><\/span><\/span>de uma <\/b><\/span><\/span>l\u00e2mpada de vapor de merc\u00fario <\/b><\/span><\/span>incide <\/b><\/span><\/span>perpendicularmente em uma das faces <\/b><\/span><\/span>de um <\/b><\/span><\/span>prisma de vidro de \u00e2ngulos 30<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>, 60<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>\u00a0e 90<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>, imerso no ar, como mostra a figura a seguir.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span>radia\u00e7\u00e3o atravessa o vidro e atinge um anteparo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Devido ao <\/b><\/span><\/span>fen\u00f4meno de refra\u00e7\u00e3o,<\/b><\/span><\/span> o <\/b><\/span><\/span>prisma separa as diferentes cores que comp\u00f5em <\/b><\/span><\/span>a <\/b><\/span><\/span>luz da l\u00e2mpada de merc\u00fario <\/b><\/span><\/span>e <\/b><\/span><\/span>observam-se, no anteparo, linhas de cor violeta, azul, verde e amarela.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Os <\/b><\/span><\/span>valores do \u00edndice de refra\u00e7\u00e3o n do vidro para as diferentes cores est\u00e3o dados adiante.<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>Calcule o <\/b><\/span><\/span>desvio angular \u03b1,\u00a0<\/b><\/span><\/span>em <\/b><\/span><\/span>rela\u00e7\u00e3o a dire\u00e7\u00e3o de incid\u00eancia<\/b><\/span><\/span>, do <\/b><\/span><\/span>raio de cor violeta que sai do prisma.<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) Desenhe, <\/b><\/span><\/span>na <\/b><\/span><\/span>figura da p\u00e1gina de respostas, <\/b><\/span><\/span>o <\/b><\/span><\/span>raio de cor violeta <\/b><\/span><\/span>que <\/b><\/span><\/span>sai <\/b><\/span><\/span>do prisma.<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) Indique, <\/b><\/span><\/span>na <\/b><\/span><\/span>representa\u00e7\u00e3o do anteparo na folha de respostas<\/b><\/span><\/span>, a <\/b><\/span><\/span>correspond\u00eancia entre as posi\u00e7\u00f5esdas linhas L<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>, L<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>, L<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0e L<\/b><\/span><\/span>4<\/b><\/span><\/sub><\/span>\u00a0e as cores do espectro do merc\u00fario.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

b)<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

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

c)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

20-(URCA-CE)\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span>raio de luz incide no ponto O, meio A, <\/b><\/span><\/span>da <\/b><\/span><\/span>superf\u00edcie de separa\u00e7\u00e3o entre esse meio e o meio B, <\/b><\/span><\/span>com um <\/b><\/span><\/span>\u00e2ngulo de incid\u00eancia igual a 7<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

No <\/b><\/span><\/span>interior do meio B, <\/b><\/span><\/span>o <\/b><\/span><\/span>raio incide em um espelho c\u00f4ncavo E, <\/b><\/span><\/span>passando pelo <\/b><\/span><\/span>foco principal F. <\/b><\/span><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span>centro de curvatura C <\/b><\/span><\/span>do espelho, cuja <\/b><\/span><\/span>distancia focal \u00e9 igual a 1,0m, encontra-se a 1,0m da superf\u00edcie de separa\u00e7\u00e3o dos meios A e B. <\/b><\/span><\/span>Observe a <\/b><\/span><\/span>figura abaixo:<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere os <\/b><\/span><\/span>seguintes \u00edndices de refra\u00e7\u00e3o: n<\/b><\/span><\/span>A<\/b><\/span><\/sub><\/span>\u00a0=<\/b><\/span><\/span> 1,0 (meio A); <\/b><\/span><\/span>n<\/b><\/span><\/span>B<\/b><\/span><\/sub><\/span>\u00a0= 1,2 <\/b><\/span><\/span>(meio B).<\/b><\/span><\/span><\/span><\/span><\/p>\n

Determine<\/b><\/span><\/span> a que <\/b><\/span><\/span>distancia do ponto O, <\/b><\/span><\/span>o <\/b><\/span><\/span>raio emerge, ap\u00f3s a reflex\u00e3o no espelho. Dado sen7<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>\u00a0= <\/b><\/span><\/span>0,12.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

21-(UFG-GO)<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/a> \"\"<\/p>\n

Refrat\u00f4metro <\/b><\/span><\/span>\u00e9 um <\/b><\/span><\/span>instrumento \u00f3tico<\/b><\/span><\/span> utilizado para <\/b><\/span><\/span>medir o \u00edndice de refra\u00e7\u00e3o de uma subst\u00e2ncia<\/b><\/span><\/span> e tamb\u00e9m para <\/b><\/span><\/span>determinar a concentra\u00e7\u00e3o de certas subst\u00e2ncias<\/b><\/span><\/span>, como, por exemplo, o <\/b><\/span><\/span>a\u00e7\u00facar em um<\/b><\/span><\/span> \"\"<\/b><\/span><\/span><\/span><\/span><\/p>\n

fluido qualquer.<\/b><\/span><\/span> A <\/b><\/span><\/span>figura ilustra o prot\u00f3tipo de um refrat\u00f4metro<\/b><\/span><\/span> constitu\u00eddo por um <\/b><\/span><\/span>prisma de \u00edndice<\/b><\/span><\/span> <\/b>de refra\u00e7\u00e3o 1,6, um orif\u00edcio no qual entra a luz de an\u00e1lise<\/b><\/span><\/span> e uma <\/b><\/span><\/span>cavidade para colocar o material<\/b><\/span><\/span> <\/b>l\u00edquido a ser analisado.<\/b><\/span><\/span> <\/b><\/span><\/span><\/p>\n

Nessas condi\u00e7\u00f5es, um <\/b><\/span><\/span>feixe de luz monocrom\u00e1tico,<\/b><\/span><\/span> ao <\/b><\/span><\/span>entrar pelo orif\u00edcio, refrata na interface<\/b><\/span><\/span> <\/b>prisma-l\u00edquido e atinge a escala graduada em um ponto a 4 cm da origem. <\/b><\/span><\/span><\/span><\/span><\/p>\n

Considerando-se que <\/b><\/span><\/span>L = 12 cm e h=\u221a2 , <\/b><\/span><\/span>calcule:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span> O <\/b><\/span><\/span>\u00edndice de refra\u00e7\u00e3o do l\u00edquido<\/b><\/span><\/span> sob an\u00e1lise.\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) O menor \u00edndice de refra\u00e7\u00e3o que esse instrumento permite medir.<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

22-(UFES-ES)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span>caneta-laser de 5,0 mW de pot\u00eancia <\/b><\/span><\/span>produz um <\/b><\/span><\/span>feixe de luz vermelha<\/b><\/span><\/span> de <\/b><\/span><\/span>comprimento de onda<\/b><\/span><\/span> <\/b>660 nm.<\/b><\/span><\/span> <\/b><\/span><\/span><\/p>\n

O <\/b><\/span><\/span>feixe,<\/b><\/span><\/span> vindo do <\/b><\/span><\/span>ar de \u00edndice de refra\u00e7\u00e3o n<\/b><\/span><\/span>ar<\/b><\/span><\/sub><\/span>\u00a0= 1,<\/b><\/span><\/span> <\/b>incide<\/b><\/span><\/span> em uma l\u00e2mina <\/b><\/span><\/span>de vidro de faces paralelas<\/b><\/span><\/span> e <\/b><\/span><\/span>de espessura e = 40mm,<\/b><\/span><\/span> fazendo um <\/b><\/span><\/span>\u00e2ngulo \u03b8<\/b><\/span><\/span> com a <\/b><\/span><\/span>dire\u00e7\u00e3o normal \u00e0s faces da l\u00e2mina,<\/b><\/span><\/span> tal que <\/b><\/span><\/span>cos\u03b8 = 0,60 ,<\/b><\/span><\/span> conforme figura.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dentro da l\u00e2mina, o feixe faz um \u00e2ngulo \u03b1 com a dire\u00e7\u00e3o normal,<\/b><\/span><\/span> tal que <\/b><\/span><\/span>cos \u03b1 = 0,80 .<\/b><\/span><\/span> <\/b><\/span><\/span><\/p>\n

Dado: <\/b><\/span><\/span>1nm = 1.10<\/b><\/span><\/span>-9<\/b><\/span><\/sup><\/span>m<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

A)<\/b><\/span><\/span> Supondo que <\/b><\/span><\/span>toda energia fornecida pela caneta<\/b><\/span><\/span> se <\/b><\/span><\/span>converta em energia da radia\u00e7\u00e3o luminosa,<\/b><\/span><\/span> determine o <\/b><\/span><\/span>n\u00famero de f\u00f3tons emitidos pela caneta-laser durante uma hora de opera\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/span><\/p>\n

B)<\/b><\/span><\/span> Sabendo que um <\/b><\/span><\/span>el\u00e9tron-volt (1eV) \u00e9 a quantidade de energia que um el\u00e9tron adquire ao passar por dois pontos em que h\u00e1 uma ddp de 1 V, determine a energia de cada f\u00f3ton vermelho em el\u00e9tron-volts.<\/b><\/span><\/span><\/span><\/span><\/p>\n

C)<\/b><\/span><\/span> Determine o valor <\/b><\/span><\/span>do deslocamento lateral do feixe<\/b><\/span><\/span> (indicado por <\/b><\/span><\/span>d <\/b><\/span><\/span>na figura).<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

Confira as resolu\u00e7\u00f5es comentadas<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

Racioc\u00ednio L\u00f3gico Dioptro plano – L\u00e2minas de faces paralelas \u2013 Prismas Formul\u00e1rio Como esse conte\u00fado envolve muita teoria, em caso de d\u00favidas voc\u00ea pode encontr\u00e1-la em fisicaevestibular.com.br \u2013 \u00d3PTICA – Dioptro plano – L\u00e2minas de faces paralelas \u2013 Prismas 01- MACKENZIE) De acordo com o desenho a seguir, consideremos para um determinado instante a seguinte situa\u00e7\u00e3o: \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 Admitindo-se que: 1)<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2508,"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-2631","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2631","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=2631"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2631\/revisions"}],"predecessor-version":[{"id":2636,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2631\/revisions\/2636"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2508"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}