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Question

The refractive index of glass for light going from air to glass is 32. The refractive index for light going from glass to air will be:

(a) 13
(b) 45
(c) 46
(d) 52

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Solution

(c) 4/6

Explanation:
Refractive index of material 2 with respect to material 1 is given by:

1n2 = Speed of light in medium 1Speed of light in medium 2

By the same argument, refractive index of medium 1 with respect to medium 2 is given by:

2n1 = Speed of light in medium 2Speed of light in medium 1 = 1/1n2

1n2 is 32; therefore, 2n1 will be 1/32.
Therefore, refractive index of light going from glass to air will be 4/6.

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