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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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Similar questions

Q. 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?

Q. (a) State the laws of refraction of light. Explain the term absolute refractive index of a medium and write an expression to relate it with the speed of light in vacuum.
(b) The absolute refractive indices of two media 'A' and 'B' are 2.0 and 1.5 respectively. If the speed of light in medium 'B' is

2 \times 10^{8}

m/s, calculate the speed of light in:
(i) vacuum,
(ii) medium 'A'.

Q. State the law of refraction of light.Write an expression to relate absolute refractive index of a medium wit speed of light in vacuum.
The refractive index of medium

x

with respect to

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\frac{2}{3}

and the refractive index of medium

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\frac{4}{3}

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z

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Q. State the laws of refraction of light. Give an expression to relate the absolute refractive index of a medium with speed of light in vacuum.

Q. A ray of light in passing from a transparent medium 1 to another transparent medium 2 speeds up. In this case, state whether the refractive index of medium 2 is

-

the refractive index of medium 1.

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