The speed of light in water is 2.25 x $10^{8} m / s$ . If the speed of light in vacuum be 3 x $10^{8} m / s$ , calculate the refractive index of water.

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Solution

$n = \frac{c}{v}$

$n = \frac{3 \times 10^{8}}{2.25 \times 10^{8}}$

n = 1.33

Ans: Refractive Index of water is 1.33

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Solve:

(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.

The refractive index of water is $\frac{4}{3}$ . The speed of light in water is:

(Take the speed of light in air $= 3 \times 10^{8} m s^{- 1}$ )

Medium	Speed of light
Vacuum Flint glass Crown glass	3.00 × 10⁸ m/s 1.86 × 10⁸ m/s 1.97 × 10⁸ m/s

2.25 \times 10^{8} m / s

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