Optics Question 729
Question: If $ {\varepsilon _{0}} $ and $ {\mu _{0}} $ are respectively, the electric permittivity and the magnetic permeability of free space, $ \varepsilon $ and $ \mu $ the corresponding quantities in a medium, the refractive index of the medium is
[IIT-JEE 1982; MP PET 1995; CBSE PMT 1997]
Options:
A) $ \sqrt{\frac{\mu \varepsilon }{{\mu _{0}}{\varepsilon _{0}}}} $
B) $ \frac{\mu \varepsilon }{{\mu _{0}}{\varepsilon _{0}}} $
C) $ \sqrt{\frac{{\mu _{0}}{\varepsilon _{0}}}{\mu \varepsilon }} $
D) $ \sqrt{\frac{\mu {\mu _{0}}}{\varepsilon {\varepsilon _{0}}}} $
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Answer:
Correct Answer: A
Solution:
$ \mu =\frac{c}{v}=\frac{1/\sqrt{{\mu _{o}}{\varepsilon _{o}}}}{1/\sqrt{\mu \varepsilon }}=\sqrt{\frac{\mu \varepsilon }{{\mu _{o}}{\varepsilon _{o}}}} $
