Optics Question 986

Question: Critical angle for light going from medium (i) to (ii) is q. The speed of light in medium (i) is v then speed in medium (ii) is

[DCE 2002]

Options:

A) $ v(1-\cos \theta ) $

B) $ v/\sin \theta $

C) $ v/\cos \theta $

D) $ v(1-\sin \theta ) $

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Answer:

Correct Answer: B

Solution:

$ _{2}{\mu _{1}}=\frac{1}{\sin \theta } $

$ \Rightarrow \frac{{\mu _{1}}}{{\mu _{2}}}=\frac{1}{\sin \theta } $

$ \Rightarrow \frac{v _{2}}{v _{1}}=\frac{1}{\sin \theta } $

$ \Rightarrow \frac{v _{2}}{v}=\frac{1}{\sin \theta } $

$ \Rightarrow v _{2}=\frac{v}{\sin \theta } $



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