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Question

The refractive indices of glass and water w.r.t. air are 3\2 & 4\3 respectively. If speed of light in glass is 2×10 to the power 8 find the speed of light in water.

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Solution

Actually, ng = 3/2 and nw = 4/3.

Absolute Refractive Index of a medium = Speed of light in vacuum/Speed of light in the medium

Speed of light in glass = 2 x 10^8 m/s
Speed of Light in Vacuum = (3/2) x 2 x 10^8 m/s = 3 x 10^8 m/s

Speed of light in water = (3 x 10^8 m/s)/(4/3)
= 2.25 x 10^8 m/s

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