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Laws of Refraction

Question 23 H...

Question

Question 23
How is the refractive index of a medium related to the speed of light? Obtain an expression for the refractive index of a medium with respect to another in terms of speed of light in these two media?

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Solution

The refractive index of medium 2 with respect to medium 1 is given by the ratio of the speed of light in medium 1 and the speed of light in medium 2. This is usually represented by the symbol $n_{21}$ . This can be expressed in an equation form as
$n_{21} = \frac{S p e e d o f l i g h t i n m e d i u m 1}{S p e e d o f l i g h t i n m e d i u m 2} = \frac{v_{1}}{v_{2}}$

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