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 ) $
Show Answer
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 } $