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}) $