{"id":4921,"date":"2020-01-13T02:35:49","date_gmt":"2020-01-13T02:35:49","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=4921"},"modified":"2024-09-04T15:04:23","modified_gmt":"2024-09-04T15:04:23","slug":"resolucao-comentada-optica-2018-2019","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/vestibulares-recentes\/optica\/vestibulares-recentes-optica-2018-2019\/resolucao-comentada-optica-2018-2019\/","title":{"rendered":"Resolu\u00e7\u00e3o Comentada – \u00d3ptica \u2013 2018\/2019"},"content":{"rendered":"

Resolu\u00e7\u00e3o Comentada – \u00d3ptica \u2013 2018\/2019<\/span><\/span><\/span><\/p>\n

01-<\/span><\/span><\/span><\/p>\n

Trata-se do\u00a0<\/b><\/span><\/span><\/span>princ\u00edpio de funcionamento de uma m\u00e1quina fotogr\u00e1fica\u00a0<\/b><\/span><\/span><\/span>baseado na\u00a0<\/b><\/span><\/span><\/span>propaga\u00e7\u00e3o retil\u00ednea da luz.<\/b><\/span><\/span><\/span><\/p>\n

Todos os\u00a0<\/b><\/span><\/span><\/span>infinitos raios de luz que s\u00e3o emitidos pelo objeto\u00a0<\/b><\/span><\/span><\/span>a ser projetado,\u00a0<\/b><\/span><\/span><\/span>passam atrav\u00e9s de um pequeno orif\u00edcio e atingem a parte interior oposta da c\u00e2mara. .<\/b><\/span><\/span><\/span><\/p>\n

Com isso a\u00a0<\/b><\/span><\/span><\/span>luz que sai do ponto (A) superior do objeto (no nosso exemplo, borboleta)<\/b><\/span><\/span><\/span>atingir\u00e1 a\u00a0<\/b><\/span><\/span><\/span>parede oposta no ponto inferior (A\u2019) da imagem projetada<\/b><\/span><\/span><\/span>, formando uma<\/b><\/span><\/span><\/span>imagem invertida<\/b><\/span><\/span><\/span>, conforme a figura.<\/b><\/span><\/span><\/span><\/p>\n

O mesmo acontece\u00a0<\/b><\/span><\/span><\/span>nas partes laterais<\/b><\/span><\/span><\/span>, trocando a\u00a0<\/b><\/span><\/span><\/span>direita pela esquerda (imagem reversa).<\/b><\/span><\/span><\/span><\/p>\n


\n<\/b><\/span><\/span><\/span>Semelhan\u00e7a de tri\u00e2ngulos\u00a0\u00a0\u00a0i\/o = d\/D\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0 observe que\u00a0<\/b><\/span><\/span><\/span>objeto e imagem trocam cima por baixo (invertida) e direita pela esquerda (reversa).\u00a0 \u00a0<\/b><\/span><\/span><\/span><\/p>\n

Se o\u00a0<\/b><\/span><\/span><\/span>orif\u00edcio da c\u00e2mara for aumentado a nitidez da imagem diminui e sua luminosidade aumenta.<\/b><\/span><\/span><\/span><\/p>\n

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

02-<\/span><\/span><\/span><\/p>\n

C\u00e1lculo da altura de um espelho plano vertical para que, a partir do ch\u00e3o, uma pessoa possa ver-se de corpo inteiro, desde a cabe\u00e7a at\u00e9 os p\u00e9s.<\/b><\/span><\/span><\/span><\/p>\n

Localizar a imagem\u00a0<\/b><\/span><\/span><\/span>da pessoa que fica\u00a0<\/b><\/span><\/span><\/span>atr\u00e1s do espelho pelos seus pontos extremos AA\u2019<\/b><\/span><\/span><\/span>(superior) e<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

BB\u2019<\/b><\/span><\/span><\/span>\u00a0(inferior).<\/b><\/span><\/span><\/span><\/p>\n

Em seguida\u00a0<\/b><\/span><\/span><\/span>ligar, com linha pontilhada, A\u2019 e B\u2019 ao olho da pessoa objeto<\/b><\/span><\/span><\/span>, que\u00a0<\/b><\/span><\/span><\/span>interceptam\u00a0<\/b><\/span><\/span><\/span>o espelho<\/b><\/span><\/span><\/span><\/p>\n

nos\u00a0<\/b><\/span><\/span><\/span>pontos M<\/b><\/span><\/span><\/span>\u00a0(inferior) e\u00a0<\/b><\/span><\/span><\/span>N\u00a0<\/b><\/span><\/span><\/span>(superior), que\u00a0<\/b><\/span><\/span><\/span>delimitam o tamanho m\u00ednimo do espelho\u00a0<\/b><\/span><\/span><\/span>para que a\u00a0<\/b><\/span><\/span><\/span>pessoa possa ver-se de corpo inteiro no mesmo.<\/b><\/span><\/span><\/span><\/p>\n

Observe que os\u00a0<\/b><\/span><\/span><\/span>tri\u00e2ngulos OMN e OB\u2019A\u2019\u00a0<\/b><\/span><\/span><\/span>s\u00e3o\u00a0<\/b><\/span><\/span><\/span>semelhantes<\/b><\/span><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span><\/span>dessa semelhan\u00e7a tiramos o tamanho m\u00ednimo do espelho MN\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0\u00a0<\/b><\/span><\/span><\/span>H\/MN = 2d\/d\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>MN = H\/2\u00a0<\/b><\/span><\/span><\/span>\u00a0(o\u00a0<\/b><\/span><\/span><\/span>tamanho m\u00ednimo do espelho\u00a0<\/b><\/span><\/span><\/span>para que a\u00a0<\/b><\/span><\/span><\/span>pessoa se veja de corpo inteiro deve ter a metade da altura da pessoa).\u00a0<\/b><\/span><\/span><\/span><\/p>\n

Importante:<\/b><\/span><\/span><\/span>\u00a0Observe que a\u00a0<\/b><\/span><\/span><\/span>altura m\u00ednima do espelho \u00e9 sempre a mesma independente do fato de a pessoa estar a uma dist\u00e2ncia d, 2d, 3d, etc. do espelho<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

Assim, a\u00a0<\/b><\/span><\/span><\/span>imagem da pessoa encontra-se ajustada ao tamanho do espelho independente da dist\u00e2ncia a que ela se encontra do mesmo<\/b><\/span><\/span><\/span>, mas, \u00e0\u00a0<\/b><\/span><\/span><\/span>medida que a pessoa se afasta do espelho<\/b><\/span><\/span><\/span>, sua\u00a0<\/b><\/span><\/span><\/span>imagem<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>tamb\u00e9m se afasta dando a impress\u00e3o<\/b><\/span><\/span><\/span>, devido ao\u00a0<\/b><\/span><\/span><\/span>\u00e2ngulo visual, que ela parece menor, mas continua sempre ajustada ao tamanho do espelho.<\/b><\/span><\/span><\/span><\/p>\n

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

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

C\u00e1lculo da altura de um espelho plano vertical para que, a partir do ch\u00e3o, uma pessoa possa ver-se de corpo inteiro, desde a cabe\u00e7a at\u00e9 os p\u00e9s.<\/b><\/span><\/span><\/span><\/p>\n

Localizar a imagem\u00a0<\/b><\/span><\/span><\/span>da pessoa que fica\u00a0<\/b><\/span><\/span><\/span>atr\u00e1s do espelho pelos seus pontos extremos AA\u2019\u00a0<\/b><\/span><\/span><\/span>(superior) e<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

BB\u2019<\/b><\/span><\/span><\/span>\u00a0(inferior).<\/b><\/span><\/span><\/span><\/p>\n

Em seguida\u00a0<\/b><\/span><\/span><\/span>ligar, com linha pontilhada, A\u2019 e B\u2019 ao olho da pessoa objeto<\/b><\/span><\/span><\/span>, que\u00a0<\/b><\/span><\/span><\/span>interceptam<\/b><\/span><\/span><\/span>\u00a0o espelho<\/b><\/span><\/span><\/span><\/p>\n

nos\u00a0<\/b><\/span><\/span><\/span>pontos M<\/b><\/span><\/span><\/span>\u00a0(inferior) e\u00a0<\/b><\/span><\/span><\/span>N\u00a0<\/b><\/span><\/span><\/span>(superior), que\u00a0<\/b><\/span><\/span><\/span>delimitam o tamanho m\u00ednimo do espelho\u00a0<\/b><\/span><\/span><\/span>para que a\u00a0<\/b><\/span><\/span><\/span>pessoa possa ver-se de corpo inteiro no mesmo.<\/b><\/span><\/span><\/span><\/p>\n

Observe que os\u00a0<\/b><\/span><\/span><\/span>tri\u00e2ngulos OMN e OB\u2019A\u2019\u00a0<\/b><\/span><\/span><\/span>s\u00e3o\u00a0<\/b><\/span><\/span><\/span>semelhantes<\/b><\/span><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span><\/span>dessa semelhan\u00e7a tiramos o tamanho m\u00ednimo do espelho MN\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0\u00a0<\/b><\/span><\/span><\/span>H\/MN = 2d\/d\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>MN = H\/2\u00a0<\/b><\/span><\/span><\/span>\u00a0(o\u00a0<\/b><\/span><\/span><\/span>tamanho m\u00ednimo do espelho\u00a0<\/b><\/span><\/span><\/span>para que a\u00a0<\/b><\/span><\/span><\/span>pessoa se veja de corpo inteiro deve ter a metade da altura da pessoa).\u00a0<\/b><\/span><\/span><\/span><\/p>\n

Importante:<\/b><\/span><\/span><\/span>\u00a0Observe que a\u00a0<\/b><\/span><\/span><\/span>altura m\u00ednima do espelho \u00e9 sempre a mesma independente do fato de a pessoa estar a uma dist\u00e2ncia d, 2d, 3d, etc. do espelho<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

Assim, a\u00a0<\/b><\/span><\/span><\/span>imagem da pessoa encontra-se ajustada ao tamanho do espelho independente da dist\u00e2ncia a que ela se encontra do mesmo<\/b><\/span><\/span><\/span>, mas, \u00e0\u00a0<\/b><\/span><\/span><\/span>medida que a pessoa se afasta do espelho<\/b><\/span><\/span><\/span>, sua\u00a0<\/b><\/span><\/span><\/span>imagem<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>tamb\u00e9m se afasta dando a impress\u00e3o<\/b><\/span><\/span><\/span>, devido ao\u00a0<\/b><\/span><\/span><\/span>\u00e2ngulo visual, que ela parece menor, mas continua sempre ajustada ao tamanho do espelho.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

R- B<\/b><\/span><\/span><\/span><\/p>\n

04-<\/span><\/span><\/span><\/p>\n

Um\u00a0<\/b><\/span><\/span><\/span>eclipse solar\u00a0<\/b><\/span><\/span><\/span>ocorre quando a\u00a0<\/b><\/span><\/span><\/span>lua est\u00e1 alinhada entre a terra e o sol\u00a0<\/b><\/span><\/span><\/span>o que s\u00f3 ocorre na\u00a0<\/b><\/span><\/span><\/span>fase de Lua Nova.<\/b><\/span><\/span><\/span><\/p>\n

Eclipse solar<\/b><\/span><\/span><\/span><\/p>\n

Analise com aten\u00e7\u00e3o todos os detalhes da figura abaixo:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Fases da Lua<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

05-<\/span><\/span><\/span><\/p>\n

Caracter\u00edstica de um espelho plano<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

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

06-<\/span><\/span><\/span><\/p>\n

Veja nas\u00a0<\/b><\/span><\/span><\/span>figuras abaixo como varia o comportamento dos dois tipos de lentes de acordo com os valores dos \u00edndices de refra\u00e7\u00e3o do meio nm\u00a0e da lente n<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Resolu\u00e7\u00e3o:\u00a0<\/b><\/span><\/span><\/span>Na figura 1,<\/b><\/span><\/span><\/span>\u00a0com\u00a0<\/b><\/span><\/span><\/span>rela\u00e7\u00e3o ao objeto<\/b><\/span><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span><\/span>lente 1 deve ser convergente, pois nm\u00a0> nL\u00a0<\/b><\/span><\/span><\/span>j\u00e1 que\u00a0<\/b><\/span><\/span><\/span>lentes convergentes fornecem imagens maiores e invertidas do objeto (dependendo da posi\u00e7\u00e3o do mesmo). Na figura 2,\u00a0<\/b><\/span><\/span><\/span>quando\u00a0<\/b><\/span><\/span><\/span>nm\u00a0> nL<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>a\u00a0<\/b><\/span><\/span><\/span>imagem \u00e9 menor e direita\u00a0<\/b><\/span><\/span><\/span>e a\u00a0<\/b><\/span><\/span><\/span>lente \u00e9 divergente pois para qualquer posi\u00e7\u00e3o do objeto a imagem fornecida por lente divergente \u00e9 sempre menor e direita em rela\u00e7\u00e3o ao objeto.<\/b><\/span><\/span><\/span><\/p>\n

Ent\u00e3o,\u00a0<\/b><\/span><\/span><\/span>para n\u2019 < n1\u00a0e n\u2019 < n2,<\/b><\/span><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span><\/span>situa\u00e7\u00e3o se inverte e a lente 1 ser\u00e1 divergente e a lente 2 ser\u00e1 convergente.<\/b><\/span><\/span><\/span>\u00a0Como\u00a0<\/b><\/span><\/span><\/span>lente divergente s\u00f3 forma imagem direita e menor (1a\u00a0figura da alternativa),<\/b><\/span><\/span><\/span>\u00a0e a\u00a0<\/b><\/span><\/span><\/span>lente convergente forma imagem invertida e menor\u00a0<\/b><\/span><\/span><\/span>com o\u00a0<\/b><\/span><\/span><\/span>objeto localizado antes do centro de curvatura, a \u00fanica op\u00e7\u00e3o poss\u00edvel \u00e9 a letra A.<\/b><\/span><\/span><\/span><\/p>\n

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

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

Equa\u00e7\u00e3o dos pontos conjugados ou equa\u00e7\u00e3o de Gauss para espelhos esf\u00e9ricos<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Equa\u00e7\u00e3o do aumento linear transversal<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

08-<\/span><\/span><\/span><\/p>\n

Precisaremos de duas f\u00f3rmulas relacionadas ao estudo dos espelhos esf\u00e9ricos para resolver esse problema. Uma \u00e9 a equa\u00e7\u00e3o de Gauss:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Outra \u00e9 a equa\u00e7\u00e3o do aumento linear:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

Com ambas podemos analisar os dois momentos do exerc\u00edcio.\u00a0<\/b><\/span><\/span><\/span>Come\u00e7ando pelo que a imagem mede a metade do objeto (2i1\u00a0= O1).<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

09-<\/span><\/span><\/span><\/p>\n

Por defini\u00e7\u00e3o dioptria D corresponde ao inverso da dist\u00e2ncia focal f da lente, medida em metros.<\/b><\/span><\/span><\/span><\/p>\n

D = 1\/f\u00a0\u00a0<\/b><\/span><\/span><\/span>8 = 1\/f\u00a0\u00a0f = 1\/8 = 0,125 m = 12,5 cm.<\/b><\/span><\/span><\/span><\/p>\n

R- E<\/b><\/span><\/span><\/span><\/p>\n

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

Estudo Anal\u00edtico das Lentes Esf\u00e9ricas<\/b><\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o de Gauss para lentes esf\u00e9ricas<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

11-<\/span><\/span><\/span><\/p>\n

Caracter\u00edsticas\u00a0<\/b><\/span><\/span><\/span>da imagem num espelho\u00a0<\/b><\/span><\/span><\/span>esf\u00e9rico\u00a0<\/b><\/span><\/span><\/span>c\u00f4ncavo com o\u00a0<\/b><\/span><\/span><\/span>objeto entre o o foco F e o v\u00e9rtice V do espelho<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Utilidades:<\/b><\/span><\/span><\/span>\u00a0s\u00e3o\u00a0<\/b><\/span><\/span><\/span>empregados com frequ\u00eancia\u00a0<\/b><\/span><\/span><\/span>quando se deseja obter uma\u00a0<\/b><\/span><\/span><\/span>imagem virtual e ampliada de um objeto, como \u00e9 o caso dos espelhos de barbear, toalete, de dentista, espelho de otorrinolaringologia, etc.<\/b><\/span><\/span><\/span><\/p>\n

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

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

B) errada\u00a0<\/b><\/span><\/span><\/span>\u00a0no\u00a0<\/b><\/span><\/span><\/span>espelho c\u00f4ncavo objeto sobre o foco n\u00e3o fornece imagem<\/b><\/span><\/span><\/span>\u00a0(ela \u00e9 impr\u00f3pria, est\u00e1 no infinito).<\/b><\/span><\/span><\/span><\/p>\n

C) errada\u00a0<\/b><\/span><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span><\/span>espelho plano fornece imagem virtual\u00a0<\/b><\/span><\/span><\/span>(atr\u00e1s do espelho) e do\u00a0<\/b><\/span><\/span><\/span>mesmo tamanho que o do objeto.<\/b><\/span><\/span><\/span><\/p>\n

D) errada\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>espelho convexo fornece sempre para qualquer posi\u00e7\u00e3o do objeto imagem virtual\u00a0<\/b><\/span><\/span><\/span>(atr\u00e1s do espelho),\u00a0<\/b><\/span><\/span><\/span>menor e\u00a0direita.<\/b><\/span><\/span><\/span><\/p>\n

A) Correta\u00a0\u00a0veja esquema abaixo:<\/b><\/span><\/span><\/span><\/p>\n

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

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

13-<\/span><\/span><\/span><\/p>\n

Estudo anal\u00edtico dos espelhos esf\u00e9ricos<\/b><\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o dos pontos conjugados ou equa\u00e7\u00e3o de Gauss para espelhos esf\u00e9ricos<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

14-<\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o de Gauss<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

R- B<\/b><\/span><\/span><\/span><\/p>\n

15-<\/span><\/span><\/span><\/p>\n

Objeto O entre f = 12 cm\u00a0e a 6 cm da lente convergente<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Natureza\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>Virtual<\/b><\/span><\/span><\/span>\u00a0(obtida no\u00a0<\/b><\/span><\/span><\/span>cruzamento dos prolongamentos<\/b><\/span><\/span><\/span>\u00a0dos raios luminosos).<\/b><\/span><\/span><\/span><\/p>\n

Localiza\u00e7\u00e3o\u00a0\u00a0Antes de fo<\/b><\/span><\/span><\/span><\/p>\n

Tamanho e orienta\u00e7\u00e3o\u00a0\u00a0maior\u00a0que o objeto e\u00a0direita\u00a0em rela\u00e7\u00e3o a ele.<\/b><\/span><\/span><\/span><\/p>\n

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

<\/p>\n

\u00a0R- B<\/b><\/span><\/span><\/span><\/p>\n

16-<\/span><\/span><\/span><\/p>\n

Veja a express\u00e3o matem\u00e1tica da equa\u00e7\u00e3o das lentes esf\u00e9ricas:<\/b><\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o de Gauss<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

S\u00e3o dados:\u00a0<\/b><\/span><\/span><\/span>P\u00a0<\/b><\/span><\/span><\/span>= 2 m\u00a0<\/b><\/span><\/span><\/span>= 2 000 mm\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>f = 20 mm.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

R \u2013 E<\/b><\/span><\/span><\/span><\/p>\n

17-<\/span><\/span><\/span><\/p>\n

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

Supondo que essa\u00a0<\/b><\/span><\/span><\/span>lente biconvexa\u00a0<\/b><\/span><\/span><\/span>(extremidades finas) esteja\u00a0<\/b><\/span><\/span><\/span>imersa no ar\u00a0<\/b><\/span><\/span><\/span>(\u00edndice de refra\u00e7\u00e3o da lente maior que o \u00edndice de refra\u00e7\u00e3o do ar)\u00a0<\/b><\/span><\/span><\/span>ela se comportar\u00e1 como uma lente convergente.<\/b><\/span><\/span><\/span><\/p>\n

Sendo a\u00a0<\/b><\/span><\/span><\/span>lente convergente\u00a0<\/b><\/span><\/span><\/span>e, como a\u00a0<\/b><\/span><\/span><\/span>imagem conjugada tem altura menor que a do objeto<\/b><\/span><\/span><\/span>, as\u00a0<\/b><\/span><\/span><\/span>caracter\u00edsticas objeto-imagem\u00a0<\/b><\/span><\/span><\/span>s\u00e3o como indicados no\u00a0<\/b><\/span><\/span><\/span>esquema abaixo.<\/b><\/span><\/span><\/span><\/p>\n

Objeto O antes de Ao<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Caracter\u00edsticas da imagem\u00a0i:<\/b><\/span><\/span><\/span><\/p>\n

Natureza<\/b><\/span><\/span><\/span>\u00a0\u00a0<\/b><\/span><\/span><\/span>Real (<\/b><\/span><\/span><\/span>obtida no\u00a0<\/b><\/span><\/span><\/span>cruzamento do pr\u00f3prio raio luminoso<\/b><\/span><\/span><\/span>\u00a0(linha cheia)<\/b><\/span><\/span><\/span>).<\/b><\/span><\/span><\/span><\/p>\n

Localiza\u00e7\u00e3o<\/b><\/span><\/span><\/span>\u00a0\u00a0entre\u00a0<\/b><\/span><\/span><\/span>Fi\u00a0e Ai.<\/b><\/span><\/span><\/span>\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

Tamanho e orienta\u00e7\u00e3o<\/b><\/span><\/span><\/span>\u00a0\u00a0<\/b><\/span><\/span><\/span>menor que o objeto<\/b><\/span><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span><\/span>invertida\u00a0<\/b><\/span><\/span><\/span>em rela\u00e7\u00e3o ao mesmo<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

Como,\u00a0<\/b><\/span><\/span><\/span>pelo enunciado,\u00a0<\/b><\/span><\/span><\/span>a\u00a0<\/b><\/span><\/span><\/span>imagem no espelho esf\u00e9rico\u00a0<\/b><\/span><\/span><\/span>deve ter as\u00a0<\/b><\/span><\/span><\/span>mesmas caracter\u00edsticas\u00a0<\/b><\/span><\/span><\/span>que as da\u00a0<\/b><\/span><\/span><\/span>lente (real, invertida e menor)\u00a0<\/b><\/span><\/span><\/span>o\u00a0<\/b><\/span><\/span><\/span>espelho<\/b><\/span><\/span><\/span>\u00a0deve ser\u00a0<\/b><\/span><\/span><\/span>c\u00f4ncavo<\/b><\/span><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span><\/span>objeto-imagem devem se localizar\u00a0<\/b><\/span><\/span><\/span>conforme\u00a0<\/b><\/span><\/span><\/span>esquema abaixo:<\/b><\/span><\/span><\/span><\/p>\n

Objeto antes do centro de curvatura C<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia focal f<\/b><\/span><\/span><\/span>\u00a0desse espelho de\u00a0<\/b><\/span><\/span><\/span>raio de curvatura fornecido R = 20 cm\u00a0<\/b><\/span><\/span><\/span>vale\u00a0<\/b><\/span><\/span><\/span>f =\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>=\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

f = 10 cm.<\/b><\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o dos pontos conjugados ou equa\u00e7\u00e3o de Gauss para espelhos esf\u00e9ricos<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

18-<\/span><\/span><\/span><\/p>\n

a)\u00a0<\/b><\/span><\/span><\/span>Como o\u00a0<\/b><\/span><\/span><\/span>objeto est\u00e1 a 6 m do espelho plano\u00a0<\/b><\/span><\/span><\/span>e nesse espelho a\u00a0<\/b><\/span><\/span><\/span>imagem \u00e9 sim\u00e9trica ao objeto\u00a0<\/b><\/span><\/span><\/span>(<\/b><\/span><\/span><\/span>dist\u00e2ncia do objeto ao espelho\u00a0<\/b><\/span><\/span><\/span>plano \u00e9 a\u00a0<\/b><\/span><\/span><\/span>mesma que a da imagem ao espelho\u00a0<\/b><\/span><\/span><\/span>plano), a\u00a0<\/b><\/span><\/span><\/span>imagem IP<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>estar\u00e1\u00a0<\/b><\/span><\/span><\/span>6m \u00e0 esquerda\u00a0<\/b><\/span><\/span><\/span>da superf\u00edcie refletora\u00a0<\/b><\/span><\/span><\/span>do espelho plano\u00a0<\/b><\/span><\/span><\/span>(veja figura).<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Assim, a\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia d entre IP\u00a0e IC<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>ser\u00e1\u00a0\u00a0d = 6 + 6 + 4 + 2 = 18 m\u00a0\u00a0<\/b><\/span><\/span><\/span>d = 18 m.<\/b><\/span><\/span><\/span><\/p>\n

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

Equa\u00e7\u00e3o dos pontos conjugados ou equa\u00e7\u00e3o de Gauss para espelhos esf\u00e9ricos<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Equa\u00e7\u00e3o do aumento linear transversal<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

C\u00e1lculo<\/b><\/span><\/span><\/span>\u00a0da\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia focal f\u00a0<\/b><\/span><\/span><\/span>do\u00a0<\/b><\/span><\/span><\/span>espelho esf\u00e9rico convexo\u00a0<\/b><\/span><\/span><\/span>sabendo,\u00a0<\/b><\/span><\/span><\/span>pela figura,\u00a0<\/b><\/span><\/span><\/span>que a\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia\u00a0<\/b><\/span><\/span><\/span>do\u00a0<\/b><\/span><\/span><\/span>objeto ao espelho \u00e9 de P = 4 m\u00a0<\/b><\/span><\/span><\/span>e a da\u00a0<\/b><\/span><\/span><\/span>imagem ao espelho \u00e9 P\u2019 = \u2013 2m\u00a0<\/b><\/span><\/span><\/span>(espelhos esf\u00e9ricos\u00a0<\/b><\/span><\/span><\/span>convexos\u00a0<\/b><\/span><\/span><\/span>formam\u00a0<\/b><\/span><\/span><\/span>sempre imagens virtuais\u00a0<\/b><\/span><\/span><\/span>que, por conven\u00e7\u00e3o, s\u00e3o\u00a0<\/b><\/span><\/span><\/span>sempre negativas<\/b><\/span><\/span><\/span>).<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

19-<\/span><\/span><\/span><\/p>\n

Caracter\u00edsticas de uma lente delgada e convergente que fornece uma imagem direita e maior que o objeto:<\/b><\/span><\/span><\/span><\/p>\n

Objeto O entre fo\u00a0(foco objeto)\u00a0e O (centro \u00f3ptico da lente)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Natureza\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>Virtual<\/b><\/span><\/span><\/span>\u00a0(obtida no\u00a0<\/b><\/span><\/span><\/span>cruzamento dos prolongamentos<\/b><\/span><\/span><\/span>\u00a0dos raios luminosos).<\/b><\/span><\/span><\/span><\/p>\n

Localiza\u00e7\u00e3o\u00a0\u00a0Antes de fo.<\/b><\/span><\/span><\/span><\/p>\n

Tamanho e orienta\u00e7\u00e3o\u00a0\u00a0maior\u00a0que o objeto e\u00a0direita\u00a0em rela\u00e7\u00e3o a ele.<\/b><\/span><\/span><\/span><\/p>\n

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

<\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>verg\u00eancia<\/b><\/span><\/span><\/span>\u00a0\u201cgrau\u201d\u00a0<\/b><\/span><\/span><\/span>V da lente\u00a0<\/b><\/span><\/span><\/span>que \u00e9 de\u00a0<\/b><\/span><\/span><\/span>5 dioptrias (di)\u00a0<\/b><\/span><\/span><\/span>corresponde ao\u00a0<\/b><\/span><\/span><\/span>inverso\u00a0<\/b><\/span><\/span><\/span>de sua\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia focal f medida em metros (m).<\/b><\/span><\/span><\/span><\/p>\n

V = 5 di<\/b><\/span><\/span><\/span>\u00a0\u00a0<\/b><\/span><\/span><\/span>V =\u00a0<\/b><\/span><\/span><\/span>\u00a0\u00a05 =\u00a0\u00a0\u00a0f =\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span>f\u00a0<\/b><\/span><\/span><\/span>= 0,2 m\u00a0<\/b><\/span><\/span><\/span>= 20 cm.<\/b><\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o de Gauss<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Imagem direita i e 4 vezes maior que o objeto O\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>i = 4.O\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u00a0= \u2013\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0\u00a0= \u2013\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span>P\u2019 = \u2013 4P.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span>=\u00a0\u00a0+\u00a0\u00a0<\/b><\/span><\/span><\/span>\u00a0\u00a0=\u00a0\u00a0+\u00a0\u00a0\u00a0\u00a0=\u00a0\u00a0\u2013\u00a0\u00a0\u00a0\u00a0=\u00a0\u00a0\u00a0\u00a0=\u00a0\u00a0\u00a04P = 60\u00a0\u00a0P =\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

P = 15 cm<\/b><\/span><\/span><\/span>\u00a0(dist\u00e2ncia entre o olho da boneca \u201cobjeto\u201d e o centro \u00f3ptico da lente)<\/b><\/span><\/span><\/span><\/p>\n

R- E<\/b><\/span><\/span><\/span><\/p>\n

20-<\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

21-<\/span><\/span><\/span><\/p>\n

O\u00a0<\/b><\/span><\/span><\/span>espelho esf\u00e9rico \u00e9 c\u00f4ncavo,\u00a0<\/b><\/span><\/span><\/span>pois a\u00a0<\/b><\/span><\/span><\/span>imagem \u00e9 menor e\u00a0invertida<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>(espelho esf\u00e9rico convexo fornece imagem sempre menor e direita).<\/b><\/span><\/span><\/span><\/p>\n

Se voc\u00ea estiver\u00a0<\/b><\/span><\/span><\/span>interessado em saber como se localiza geometricamente o espelho,<\/b><\/span><\/span><\/span>\u00a0leia as\u00a0<\/b><\/span><\/span><\/span>informa\u00e7\u00f5es a seguir:<\/b><\/span><\/span><\/span><\/p>\n

Etapas:<\/b><\/span><\/span><\/span><\/p>\n

\u00a0\u00a0\u00a0Obter o\u00a0<\/b><\/span><\/span><\/span>ponto A\u2019,<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>sim\u00e9trico a A e abaixo dele<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>(mesmo tamanho da extremidade do objeto em rela\u00e7\u00e3o ao eixo principal ep).\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

\u00a0\u00a0\u00a0\u00a0<\/span>Unir A\u2019 \u00e0 extremidade de i\u00a0<\/b><\/span><\/span><\/span>e prolongar\u00a0<\/b><\/span><\/span><\/span>esta reta at\u00e9 ela interceptar o ep\u00a0<\/b><\/span><\/span><\/span>onde\u00a0<\/b><\/span><\/span><\/span>est\u00e1 o ponto que<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

indica\u00a0<\/b><\/span><\/span><\/span>o v\u00e9rtice V do espelho que,\u00a0<\/b><\/span><\/span><\/span>como j\u00e1 vimos\u00a0<\/b><\/span><\/span><\/span>\u00e9 c\u00f4ncavo e desenh\u00e1-lo.<\/b><\/span><\/span><\/span><\/p>\n

Observe que esse procedimento foi baseado no seguinte raio not\u00e1vel: \u201cTodo raio de luz\u00a0<\/b><\/span><\/span><\/span>que incide\u00a0<\/b><\/span><\/span><\/span>sobre o v\u00e9rtice V do espelho\u00a0<\/b><\/span><\/span><\/span>se reflete\u00a0<\/b><\/span><\/span><\/span>formando o mesmo \u00e2ngulo com o eixo principal\u201d.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Assim, foi<\/b><\/span><\/span><\/span>\u00a0poss\u00edvel localizar o espelho conforme voc\u00ea pode observar na figura acima com a linha pontilhada.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0Para\u00a0<\/b><\/span><\/span><\/span>localizar o foco<\/b><\/span><\/span><\/span>\u00a0voc\u00ea\u00a0<\/b><\/span><\/span><\/span>deve tra\u00e7ar um raio de luz que, partindo de A<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span><\/span>incida\u00a0<\/b><\/span><\/span><\/span>no espelho<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

paralelamente ao eixo principal e\u00a0<\/b><\/span><\/span><\/span>retorne passando\u00a0<\/b><\/span><\/span><\/span>pelo foco F e que deve coincidir com a parte inferior da imagem i\u00a0<\/b><\/span><\/span><\/span>e, para\u00a0<\/b><\/span><\/span><\/span>localizar o centro de curvatura C voc\u00ea deve dobrar a dist\u00e2ncia FV.<\/b><\/span><\/span><\/span><\/p>\n

Observe que este \u00e9\u00a0<\/b><\/span><\/span><\/span>o primeiro caso de espelho c\u00f4ncavo\u00a0<\/b><\/span><\/span><\/span>(objeto antes de C) que\u00a0<\/b><\/span><\/span><\/span>fornece imagem real, invertida, menor que a do objeto e localizada entre C e f.<\/b><\/span><\/span><\/span><\/p>\n

Este processo \u00e9 v\u00e1lido para qualquer tipo de espelho<\/b><\/span><\/span><\/span><\/p>\n

Analiticamente:<\/b><\/span><\/span><\/span><\/p>\n

Equa\u00e7\u00e3o dos pontos conjugados ou equa\u00e7\u00e3o de Gauss para espelhos esf\u00e9ricos<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Equa\u00e7\u00e3o do aumento linear transversal<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

\u00c9 claro que o\u00a0<\/b><\/span><\/span><\/span>sistema CPS funciona no ar<\/b><\/span><\/span><\/span>\u00a0(veja figura acima) e, assim as\u00a0<\/b><\/span><\/span><\/span>lentes e os espelhos est\u00e3o imersos no ar.<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>concentra\u00e7\u00e3o dos raios solares nas lentes ou espelhos s\u00f3 ocorre\u00a0no foco\u00a0dos mesmos<\/b><\/span><\/span><\/span><\/p>\n

I. Falsa\u00a0<\/b><\/span><\/span><\/span>\u00a0se essas lentes c\u00f4ncavas possuem\u00a0<\/b><\/span><\/span><\/span>comportamento \u00f3ptico divergente\u00a0<\/b><\/span><\/span><\/span>elas\u00a0<\/b><\/span><\/span><\/span>divergem<\/b><\/span><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span><\/span>n\u00e3o concentram os raios de luz.<\/b><\/span><\/span><\/span><\/p>\n

II. Correta\u00a0<\/b><\/span><\/span><\/span>\u00a0convergem,\u00a0<\/b><\/span><\/span><\/span>concentram os raios de luz.<\/b><\/span><\/span><\/span><\/p>\n

III. Correta\u00a0<\/b><\/span><\/span><\/span>\u00a0espelhos c\u00f4ncavos podem\u00a0<\/b><\/span><\/span><\/span>concentrar raios de luz\u00a0<\/b><\/span><\/span><\/span>desde que a\u00a0<\/b><\/span><\/span><\/span>viga esteja concentrada em seu foco.<\/b><\/span><\/span><\/span><\/p>\n

IV. Falsa\u00a0<\/b><\/span><\/span><\/span>\u00a0espelhos convexos\u00a0<\/b><\/span><\/span><\/span>n\u00e3o concentram efetivamente os raios de luz .<\/b><\/span><\/span><\/span><\/p>\n

V. Correta\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>pequena viga encontra-se no ponto focal dos espelhos e das lentes, onde se\u00a0<\/b><\/span><\/span><\/span>concentram os raios de luz.<\/b><\/span><\/span><\/span><\/p>\n

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

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

O\u00a0<\/b><\/span><\/span><\/span>foco dessa lente convergente est\u00e1 a 60 cm de seu centro \u00f3ptico<\/b><\/span><\/span><\/span>\u00a0(f= 60 cm), pois\u00a0<\/b><\/span><\/span><\/span>todo raio de luz que incide na lente paralelamente ao eixo principal (proveniente de uma dist\u00e2ncia muito grande,<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

como do Sol)<\/b><\/span><\/span><\/span>, atinge a lente se\u00a0<\/b><\/span><\/span><\/span>refratando e passando pelo foco.<\/b><\/span><\/span><\/span><\/p>\n

Assim, os\u00a0<\/b><\/span><\/span><\/span>infinitos raios de luz provenientes do Sol, convergem sobre f = 60 cm.<\/b><\/span><\/span><\/span><\/p>\n


\nEqua\u00e7\u00e3o de Gauss<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

A\u00a0<\/b><\/span><\/span><\/span>lei de Snell<\/b><\/span><\/span><\/span>\u00a0enuncia que:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Observe o esbo\u00e7o abaixo:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Repare que\u00a0<\/b><\/span><\/span><\/span>se a incid\u00eancia \u00e9 normal, igual ao enunciado, o \u00e2ngulo de incid\u00eancia \u00e9 nulo, e pela lei de Snell, ser\u00e1 nulo tamb\u00e9m, logo, quando a incid\u00eancia \u00e9 normal, o raio incidente n\u00e3o sofre desvio<\/b><\/span><\/span><\/span>. Portanto, neste exerc\u00edcio,\u00a0<\/b><\/span><\/span><\/span>os raios devem comportar-se como na alternativa E<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

a) Observando a figura, \u00e9 poss\u00edvel observar que h\u00e1 uma\u00a0<\/b><\/span><\/span><\/span>semelhan\u00e7a de tri\u00e2ngulos<\/b><\/span><\/span><\/span>:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Por semelhan\u00e7a de tri\u00e2ngulo, podemos determinar o di\u00e2metro do disco, dividindo a base do tri\u00e2ngulo menor pela do maior, e a altura do tri\u00e2ngulo menor pela do tri\u00e2ngulo maior:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

b) A\u00a0<\/b><\/span><\/span><\/span>lente convergente pode estar posicionada em qualquer lugar entre a l\u00e2mpada D e o anteparo d<\/b><\/span><\/span><\/span>, de forma que nos conv\u00e9m montar um esbo\u00e7o do problema:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

Observe a ilustra\u00e7\u00e3o a seguir:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Nela podemos visualizar que\u00a0<\/b><\/span><\/span><\/span>quando a luz passar de um\u00a0<\/b><\/span><\/span><\/span><\/span>meio menos refringente\u00a0<\/b><\/span><\/span><\/span><\/span>(menor indice de refra\u00e7\u00e3o) para um\u00a0<\/b><\/span><\/span><\/span><\/span>meio mais refringente\u00a0<\/b><\/span><\/span><\/span><\/span>(maior \u00edndice de refra\u00e7\u00e3o), o \u00e2ngulo de refra\u00e7\u00e3o\u00a0<\/b><\/span><\/span><\/span><\/span>ser\u00e1 menor que o \u00e2ngulo de incid\u00eancia\u00a0<\/b><\/span><\/span><\/span><\/span>(ele se aproxima da normal) e\u00a0<\/b><\/span><\/span><\/span><\/span>menor ser\u00e1 a velocidade da luz nele<\/b><\/span><\/span><\/span><\/span>.\u00a0<\/b><\/span><\/span><\/span><\/span>O oposto ocorre de um meio mais refirngente para um menos.\u00a0<\/b><\/span><\/span><\/span><\/span>Agora observe novamente a figura do exerc\u00edcio:<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

Para facilitar a visualiza\u00e7\u00e3o foram adicionadas duas linhas vermelhas representando a reta normal. De\u00a0n3\u00a0para\u00a0n2\u00a0podemos observar que\u00a0<\/b><\/span><\/span><\/span>o raio se aproxima da normal, portanto\u00a0n2<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>>\u00a0n3<\/b><\/span><\/span><\/span>. J\u00e1 de\u00a0n2<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>para\u00a0n1\u00a0o feixe \u00e9 apenas refletido, ou seja,\u00a0<\/b><\/span><\/span><\/span>chegamos no limite aonde ocorre a reflex\u00e3o total,<\/b><\/span><\/span><\/span>\u00a0esse fen\u00f4meno\u00a0<\/b><\/span><\/span><\/span>s\u00f3 \u00e9 poss\u00edvel de um meio mais refringente para um menos, ou seja,\u00a0n2<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>>\u00a0n1<\/b><\/span><\/span><\/span>. S\u00f3 nos resta saber quem \u00e9 menor\u00a0n3\u00a0ou\u00a0n1. Podemos usar o seguinte racioc\u00ednio:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

Fibras \u00f3pticas<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Utilizados em\u00a0<\/b><\/span><\/span><\/span>comunica\u00e7\u00f5es<\/b><\/span><\/span><\/span>\u00a0(rede telef\u00f4nica, televis\u00e3o por cabo, distribui\u00e7\u00e3o de energia el\u00e9trica), em<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>medicina<\/b><\/span><\/span><\/span>\u00a0(sistemas de monitora\u00e7\u00e3o interna do corpo humano e instrumenta\u00e7\u00e3o cir\u00fargica), etc.<\/b><\/span><\/span><\/span><\/p>\n

N\u00e3o importa a\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia, levam a informa\u00e7\u00e3o quase instantaneamente, ou seja, \u00e0 velocidade pr\u00f3xima \u00e0 da luz.<\/b><\/span><\/span><\/span><\/p>\n

Veja na\u00a0<\/b><\/span><\/span><\/span>teoria acima que o caminho da luz \u00e9 totalmente espelhado devido \u00e0\u00a0reflex\u00e3o total que s\u00f3 ocorre se o \u00e2ngulo de incid\u00eancia com que a luz incide seja maior que o \u00e2ngulo limite L.<\/b><\/span><\/span><\/span><\/p>\n

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

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

<\/p>\n

R- E<\/b><\/span><\/span><\/span><\/p>\n

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

Princ\u00edpio de Huygens<\/b><\/span><\/span><\/span>\u00a0\u201c<\/b><\/span><\/span><\/span>todos os pontos de uma frente de onda podem ser considerados fontes de ondas secund\u00e0rias que se espalham em todas as dire\u00e7\u00f4es com uma velocidade igual \u00e0 de propaga\u00e7\u00e3o da onda.\u201d<\/b><\/span><\/span><\/span><\/p>\n

Com o\u00a0<\/b><\/span><\/span><\/span>princ\u00edpio de Huygens podemos analisar a dire\u00e7\u00e3o de refra\u00e7\u00e3o\u00a0<\/b><\/span><\/span><\/span>e reflex\u00e3o\u00a0<\/b><\/span><\/span><\/span>da onda luz<\/b><\/span><\/span><\/span>. A\u00a0<\/b><\/span><\/span><\/span>refra\u00e7\u00e3o \u00e9 um fen\u00f4meno em que a luz incide em um determinado meio e acaba desviando do seu curso natural com um determinado \u00e2ngulo, mudando assim a velocidade e frequ\u00eancia da onda.<\/b><\/span><\/span><\/span><\/p>\n

Baseado no princ\u00edpio de\u00a0Huygens, podemos citar a lei de Snell-Descartes.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

30-\u00a0<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span><\/span><\/span>refra\u00e7\u00e3o da luz\u00a0<\/b><\/span><\/span><\/span><\/span>\u00e9 um\u00a0<\/b><\/span><\/span><\/span><\/span>fen\u00f4meno<\/b><\/span><\/span><\/span><\/span>\u00a0que ocorre quando a\u00a0<\/b><\/span><\/span><\/span><\/span>luz passa de um meio para outro, variando sua velocidade de propaga\u00e7\u00e3o e sofrendo desvio.<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

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

Lei de Snell \u2013 Descartes<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

R- B<\/b><\/span><\/span><\/span><\/p>\n

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

<\/p>\n

R- E<\/b><\/span><\/span><\/span><\/p>\n

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

Significado f\u00edsico do \u00edndice de refra\u00e7\u00e3o de um dado meio<\/b><\/span><\/span><\/span><\/span><\/p>\n

O\u00a0<\/b><\/span><\/span><\/span><\/span>\u00edndice de refra\u00e7\u00e3o de um meio\u00a0<\/b><\/span><\/span><\/span><\/span>representa a\u00a0<\/b><\/span><\/span><\/span><\/span>raz\u00e3o (compara\u00e7\u00e3o)\u00a0<\/b><\/span><\/span><\/span><\/span>entre a<\/b><\/span><\/span><\/span><\/span>velocidade da luz no v\u00e1cuo e\u00a0a velocidade da luz no meio, ou seja:<\/b><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

O\u00a0<\/b><\/i><\/span><\/span><\/span>\u00edndice de refra\u00e7\u00e3o absoluto\u00a0<\/b><\/i><\/span><\/span><\/span>\u00e9\u00a0<\/b><\/i><\/span><\/span><\/span>inversamente proporcional \u00e0 velocidade de propaga\u00e7\u00e3o da luz no meio<\/b><\/i><\/span><\/span><\/span>, isto \u00e9, quanto\u00a0<\/b><\/i><\/span><\/span><\/span>menor for a velocidade de propaga\u00e7\u00e3o da luz, maior ser\u00e1 o \u00edndice de refra\u00e7\u00e3o do meio.<\/b><\/i><\/span><\/span><\/span><\/p>\n

Quanto mais pr\u00f3ximo do asfalto, mais quente fica o ar ficando, portanto mais rarefeito (menos denso, menos refringente) e o \u00edndice de refra\u00e7\u00e3o diminui. Assim, como n2\u00a0> n1<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u00a0V2\u00a0< V1.<\/b><\/span><\/span><\/span><\/p>\n

A velocidade da luz quando se aproxima do asfalto aumenta.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

As\u00a0<\/b><\/span><\/span><\/span><\/span>express\u00f5es acima<\/b><\/span><\/span><\/span><\/span>\u00a0nos mostram que quando a\u00a0<\/b><\/span><\/span><\/span><\/span>luz passar de um meio menos refringente\u00a0<\/b><\/span><\/span><\/span><\/span>(menor indice de refra\u00e7\u00e3o)\u00a0<\/b><\/span><\/span><\/span><\/span>para um meio mais refringente\u00a0<\/b><\/span><\/span><\/span><\/span>(maior \u00edndice de refra\u00e7\u00e3o), o\u00a0<\/b><\/span><\/span><\/span><\/span>\u00e2ngulo de refra\u00e7\u00e3o ser\u00e1 menor que o \u00e2ngulo de incid\u00eancia (ele se aproxima da normal) e menor ser\u00e1 a velocidade da luz nele. (veja figuras e procure memorizar essas informa\u00e7\u00f5es)<\/b><\/span><\/span><\/span><\/span><\/p>\n

Pelo\u00a0<\/b><\/span><\/span><\/span>princ\u00edpio da reversibilidade\u00a0<\/b><\/span><\/span><\/span>(caminho inverso), quando\u00a0<\/b><\/span><\/span><\/span>a\u00a0luz passa de um meio mais refringente para um menos refringente sua velocidade aumenta e ele se afasta da normal\u00a0\u00a0\u03b82\u00a0> \u03b81<\/b><\/span><\/span><\/span><\/p>\n

Quanto\u00a0<\/b><\/span><\/span><\/span>mais se aproxima do asfalto, menos denso fica o a<\/b><\/span><\/span><\/span>r e o\u00a0<\/b><\/span><\/span><\/span>\u00edndice de refra\u00e7\u00e3o diminui<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0frequ\u00eancia f da luz \u00e9 a mesma que a da fonte, independe do meio de propaga\u00e7\u00e3o<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>f1\u00a0= f2\u00a0= f.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

O\u00a0comprimento de onda assim que a luz se aproxima do asfalto aumenta.<\/b><\/span><\/span><\/span><\/p>\n

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

Segunda lei da refra\u00e7\u00e3o (Lei de Snell-Descartes)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

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

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

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

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

Veja as express\u00f5es abaixo que se referem \u00e0 refra\u00e7\u00e3o da luz:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Lei de Snell-Descartes<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

<\/p>\n

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

Se a\u00a0<\/b><\/span><\/span><\/span>imagem da parte imersa do ovo \u00e9 maior que o objeto,<\/b><\/span><\/span><\/span>\u00a0a lente\u00a0<\/b><\/span><\/span><\/span>s\u00f3 pode ser\u00a0convergente,\u00a0<\/b><\/span><\/span><\/span>pois\u00a0<\/b><\/span><\/span><\/span>lentes divergentes fornecem sempre imagens menores que as do objeto.<\/b><\/span><\/span><\/span><\/p>\n

Os\u00a0<\/b><\/span><\/span><\/span>raios de luz refletidos,\u00a0<\/b><\/span><\/span><\/span>que saem da\u00a0<\/b><\/span><\/span><\/span>parte imersa do ovo\u00a0<\/b><\/span><\/span><\/span>e que\u00a0<\/b><\/span><\/span><\/span>chegam<\/b><\/span><\/span><\/span>\u00a0aos\u00a0<\/b><\/span><\/span><\/span>olhos\u00a0<\/b><\/span><\/span><\/span>do\u00a0<\/b><\/span><\/span><\/span>observador\u00a0<\/b><\/span><\/span><\/span>sofrem\u00a0<\/b><\/span><\/span><\/span>refra\u00e7\u00e3o passando da \u00e1gua\u00a0<\/b><\/span><\/span><\/span>(meio mais refringente, maior \u00edndice de refra\u00e7\u00e3o)\u00a0<\/b><\/span><\/span><\/span>para o ar\u00a0<\/b><\/span><\/span><\/span>(menor \u00edndice de refra\u00e7\u00e3o), se\u00a0<\/b><\/span><\/span><\/span>afastando da normal,\u00a0<\/b><\/span><\/span><\/span>fazendo com que o\u00a0<\/b><\/span><\/span><\/span>observador enxergue a imagem maior que o objeto.<\/b><\/span><\/span><\/span><\/p>\n

R- B<\/b><\/span><\/span><\/span><\/p>\n

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

Lei de Snell-Descartes<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

A\u00a0<\/b><\/span><\/span><\/span>dispers\u00e3o luminosa\u00a0<\/b><\/span><\/span><\/span>ocorre\u00a0<\/b><\/span><\/span><\/span>artificialmente<\/b><\/span><\/span><\/span>\u00a0quando a\u00a0<\/b><\/span><\/span><\/span>luz se dispersa como no interior de um prisma (figura da esquerda) ou passa do ar para a \u00e1gua (figura da direita),\u00a0<\/b><\/span><\/span><\/span>sendo\u00a0<\/b><\/span><\/span><\/span>mais desviada a luz<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

monocrom\u00e1tica violeta\u00a0<\/b><\/span><\/span><\/span>(menor velocidade) e\u00a0<\/b><\/span><\/span><\/span>menos desviada a luz monocrom\u00e1tica vermelha\u00a0<\/b><\/span><\/span><\/span>(maior velocidade).<\/b><\/span><\/span><\/span><\/p>\n

Lembre-se que\u00a0<\/b><\/span><\/span><\/span>essa dispers\u00e3o ocorre com uma\u00a0infinidade\u00a0de cores\u00a0<\/b><\/span><\/span><\/span>(infinidades de frequ\u00eancias)\u00a0<\/b><\/span><\/span><\/span>que est\u00e3o compreendidas entre o vermelho e o violeta.<\/b><\/span><\/span><\/span><\/p>\n

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

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

Prismas dispersivos\u00a0\u00a0decomp\u00f5em<\/b><\/span><\/span><\/span>\u00a0(dispersam) a\u00a0<\/b><\/span><\/span><\/span>luz policrom\u00e1tica branca\u00a0<\/b><\/span><\/span><\/span>em suas\u00a0<\/b><\/span><\/span><\/span>infinitas<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

componentes monocrom\u00e1ticas (cores) que comp\u00f5em o espectro luminoso.<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>dispers\u00e3o luminosa\u00a0<\/b><\/span><\/span><\/span>ocorre\u00a0<\/b><\/span><\/span><\/span>artificialmente<\/b><\/span><\/span><\/span>\u00a0quando a\u00a0<\/b><\/span><\/span><\/span>luz se dispersa como no interior de um prisma (figura da esquerda) ou passa do ar para a \u00e1gua (figura da direita),\u00a0<\/b><\/span><\/span><\/span>sendo\u00a0<\/b><\/span><\/span><\/span>mais desviada a luz<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

monocrom\u00e1tica violeta\u00a0<\/b><\/span><\/span><\/span>(menor velocidade) e\u00a0<\/b><\/span><\/span><\/span>menos desviada a luz monocrom\u00e1tica vermelha\u00a0<\/b><\/span><\/span><\/span>(maior velocidade).<\/b><\/span><\/span><\/span><\/p>\n

Lembre-se que\u00a0<\/b><\/span><\/span><\/span>essa dispers\u00e3o ocorre com uma\u00a0infinidade\u00a0de cores\u00a0<\/b><\/span><\/span><\/span>(infinidades de frequ\u00eancias)\u00a0<\/b><\/span><\/span><\/span>que est\u00e3o compreendidas entre o vermelho e o violeta.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0R- B\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

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

<\/p>\n

<\/p>\n

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

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

<\/p>\n

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

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

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

O\u00a0olho humano possui\u00a0dois tipos de c\u00e9lulas respons\u00e1veis<\/b><\/span><\/span><\/span>\u00a0por nos\u00a0<\/b><\/span><\/span><\/span>fazerem enxergar: os cones e os bastonetes.<\/b><\/span><\/span><\/span><\/p>\n

Os\u00a0<\/b><\/span><\/span><\/span>bastonetes s\u00e3o c\u00e9lulas que necessitam de pouca luz para serem sensibilizadas.<\/b><\/span><\/span><\/span>\u00a0\u00a0Entretanto\u00a0<\/b><\/span><\/span><\/span>n\u00e3o conseguem formar imagens coloridas ou n\u00edtidas.\u00a0<\/b><\/span><\/span><\/span>\u00c9\u00a0<\/b><\/span><\/span><\/span>por isso\u00a0<\/b><\/span><\/span><\/span>que a\u00a0<\/b><\/span><\/span><\/span>noite ou em locais escuro \u00e9 muito dif\u00edcil se distinguir cor.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

J\u00e1 os\u00a0<\/b><\/span><\/span><\/span>cones\u00a0s\u00e3o sensibilizados com uma quantidade grande de luz e geram as imagens\u00a0n\u00edtidas\u00a0e coloridas.<\/b><\/span><\/span><\/span>\u00a0Existem\u00a0<\/b><\/span><\/span><\/span>3 tipos de cones, os azuis, os vermelhos e os verdes<\/b><\/span><\/span><\/span>.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

As\u00a0<\/b><\/span><\/span><\/span>cores vermelha, azul e verde s\u00e3o as 3 cores que nossos olhos captam.<\/b><\/span><\/span><\/span><\/p>\n

Todas as\u00a0<\/b><\/span><\/span><\/span>outras cores que vemos s\u00e3o formadas a partir dessas 3 cores.<\/b><\/span><\/span><\/span>\u00a0Por isso essas\u00a0<\/b><\/span><\/span><\/span>3 cores s\u00e3o\u00a0<\/b><\/span><\/span><\/span>consideradas as\u00a0<\/b><\/span><\/span><\/span>cores\u00a0\u00a0prim\u00e1rias da vis\u00e3o e tamb\u00e9m da s\u00edntese aditiva de cor.<\/b><\/span><\/span><\/span><\/p>\n

Assim,\u00a0<\/b><\/span><\/span><\/span>degenera\u00e7\u00e3o desse tipo celular (cones)\u00a0<\/b><\/span><\/span><\/span>ir\u00e1\u00a0<\/b><\/span><\/span><\/span>comprometer a capacidade de vis\u00e3o em cores<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

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

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

As equa\u00e7\u00f5es de movimento harm\u00f4nico\u00a0<\/b><\/span><\/span><\/span>servem apenas para fornecer os valores que localizam objeto (y) e imagem (y\u2019) sobre o eixo principal.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

y = 0,1 e y\u2019 = -0,5<\/b><\/span><\/span><\/span><\/p>\n

Observe a ilustra\u00e7\u00e3o abaixo:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

y \u00e9 o\u00a0<\/b><\/span><\/span><\/span>tamanho (altura)<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>do objeto\u00a0<\/b><\/span><\/span><\/span>e p sua\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia ao foco.\u00a0<\/b><\/span><\/span><\/span>Enquanto que y\u2019\u00a0<\/b><\/span><\/span><\/span>\u00e9 o tamanho da imagem\u00a0<\/b><\/span><\/span><\/span>e p\u2019 sua\u00a0<\/b><\/span><\/span><\/span>dist\u00e2ncia ao foco.\u00a0<\/b><\/span><\/span><\/span>Veja as equa\u00e7\u00f5es do aumento linear transversal abaixo:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

o \u00e9 equivalente ao y e i equivalente ao y\u2019.<\/b><\/span><\/span><\/span>\u00a0Substituindo:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Sabendo disso podemos\u00a0<\/b><\/span><\/span><\/span>substituir na equa\u00e7\u00e3o de Gauss:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

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

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

\u00a0Para as pessoas com\u00a0<\/b><\/span><\/span><\/span>miopia:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

As\u00a0<\/b><\/span><\/span><\/span>lentes divergentes,<\/b><\/span><\/span><\/span>\u00a0por divergirem o foco,\u00a0<\/b><\/span><\/span><\/span>deslocam a imagem para tr\u00e1s.<\/b><\/span><\/span><\/span><\/p>\n

Para as pessoas com\u00a0<\/b><\/span><\/span><\/span>hipermetropia:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

As\u00a0<\/b><\/span><\/span><\/span>lentes convergentes<\/b><\/span><\/span><\/span>, por convergirem o foco,\u00a0<\/b><\/span><\/span><\/span>deslocam a imagem para frente.<\/b><\/span><\/span><\/span>\u00a0Ent\u00e3o Maria deve usar lentes divergentes e Fernanda convergentes.\u00a0<\/b><\/span><\/span><\/span>Alternativa correta \u00e9 a A.<\/b><\/span><\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Resolu\u00e7\u00e3o Comentada – \u00d3ptica \u2013 2018\/2019 01- Trata-se do\u00a0princ\u00edpio de funcionamento de uma m\u00e1quina fotogr\u00e1fica\u00a0baseado na\u00a0propaga\u00e7\u00e3o retil\u00ednea da luz. Todos os\u00a0infinitos raios de luz que s\u00e3o emitidos pelo objeto\u00a0a ser projetado,\u00a0passam atrav\u00e9s de um pequeno orif\u00edcio e atingem a parte interior oposta da c\u00e2mara. . Com isso a\u00a0luz que sai do ponto (A) superior do objeto (no nosso exemplo, borboleta)atingir\u00e1<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":4919,"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-4921","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4921","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=4921"}],"version-history":[{"count":1,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4921\/revisions"}],"predecessor-version":[{"id":4922,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4921\/revisions\/4922"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4919"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=4921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}