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8.Electromagnetic waves
easy
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
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}}}} $
(IIT-1982) (AIPMT-1997)
Solution
$\mu = \frac{c}{v} = \frac{{1/\sqrt {{\mu _o}{\varepsilon _o}} }}{{1/\sqrt {\mu \varepsilon } }} = \sqrt {\frac{{\mu \varepsilon }}{{{\mu _o}{\varepsilon _o}}}} $
Standard 12
Physics
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