If $v_{1}, v_{2}$ and c represent the speed of light in medium 1, medium 2, and vacuum respectively , write the expressions for
(a) absolute refractive index of medium 1
(b) absolute refractive index of medium 2
Hence show that $_{1} n_{2} = \frac{n_{2}}{n_{1}}$

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Solution

$μ_{1}$ $= \frac{s p e e d o f l i g h t i n a i r}{s p e e d o f l i g h t i n m e d i u m}$
$= \frac{C}{v_{1}}$
$μ_{2}$ $= \frac{s p e e d o f l i g h t i n a i r}{s p e e d o f l i g h t i n m e d i u m}$
$= \frac{C}{v_{2}}$
$\frac{μ_{1}}{μ_{2}} = \frac{v_{1}}{v_{2}}$

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