Question

The refractive indice of glass and water with respect to air are 3/2 and 4/3 respectively. If speed of light in glass is 2x10 m/s find the speed of light in water.

Answer 1

Answer:

2.25 * 10⁸ m/s

Explanation:

Refractive index of glass w.r.t. air = (speed of light in air) / (speed of light in glass)

⇒ 3/2 = speed of light in air / 2 * 10⁸

⇒ speed of light in air = 3/2 * 2 * 10⁸

⇒ speed of light in air  =  3 * 10⁸ m/s

Refractive index of water w.r.t. air = (speed of light in air)/(speed of light in water)

⇒ 4/3 = (3*10⁸)/(speed of light in water)

⇒ speed of light in water = 3/4 * 3* 10⁸

⇒ speed of light in water = 2.25 * 10⁸ m/s