Optics Question 744

Question: If $ \hat{i} $ denotes a unit vector along incident light ray, $ \hat{r} $ a unit vector along refracted ray into a medium of refractive index $ \mu $ and $ \hat{n} $ unit vector normal to boundary of medium directed towards incident medium, then law of refraction is

[EAMCET (Engg.) 1995]

Options:

A) $ \hat{i}.\hat{n}=\mu (\hat{r}.\hat{n}) $

B) $ \hat{i}\times \hat{n}=\mu (\hat{n}\times \hat{r}) $

C) $ \hat{i}\times \hat{n}=\mu (\hat{r}\times \hat{n}) $

D) $ \mu (\hat{i}\times \hat{n})=\hat{r}\times \hat{n} $

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Answer:

Correct Answer: C

Solution:

Snell’s law in vector form is $ \hat{i}\times \hat{n}=\mu (\hat{r}\times \hat{n}) $



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