The refractive index of water is 1.33 and the speed of light in air is 3 x 108 ms-1. Calculate the speed of light in water.

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Solution

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$R e f r a c t i v e I n d e x o f m e d i u m = \frac{S p e e d o f l i g h t i n a i r / v a c c u u m}{S p e e d o f l i g h t i n m e d i u m} 1.33 = = \frac{3 \times 10^{8} m / s}{S p e e d o f l i g h t i n w a t e r} S p e e d o f l i g h t i n w a t e r = \frac{3 \times 10^{8} m / s}{1.33} = 2.25 \times 10^{8} m / s$
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The speed of light in air is $3 \times 10^{8}$ m/s Calculate the speed of light in glass. The refractive index of glass is $1.5$ .

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(1) The speed of light in a transparent medium is 2.4 × 10⁸ m/s. Calculate absolute refractive index of the medium.

(2) The speed of light in water and glass is 2.2 × 10⁸ m/s and 2 × 10⁸ m/s, respectively. What is the refractive index of −

(a) water w.r.t. glass

(b) glass w.r.t. water.

(3) Refractive index of water is 4/3 and speed of light in air is 3×10⁸ m/s. Find speed of light in water.

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