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Question

The speed of light in vacuum and in two different glasses is given in the table below:
Medium Speed of light
Vacuum
Flint glass
Crown glass
3.00 × 108 m/s
1.86 × 108 m/s
1.97 × 108 m/s

(a) Calculate the absolute refractive indexes of flint glass and crown glass.
(b) Calculate the relative refractive index for light going from crown glass to flint glass.

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Solution

(a) Absolute refractive index of flint glass = Speed of light in vacuum / Speed of light in flint glass
= (3.00 × 108) / (1.86 × 108)
= 1.61
Absolute refractive index of crown glass = Speed of light in vacuum / Speed of light in crown glass
= (3.00 × 108) / (1.97 × 108)
= 1.52

(b) Relative refractive index for light going from crown glass to flint glass is given by:
(Speed of light in crown glass) / (Speed of light in flint glass)
= (1.97 × 108) / (1.86 × 108)
= 1.059

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