Question

For the same angle of incidence in media A,B and C, the angles of refraction are 200 , 300 and 400 respectively. In which medium will the velocity of light be maximum? Give reason in support of your answer.

Answer 1

Required formula,

v₂ / v₁ = sinΘ₂ / sinΘ₁

Here, angle of incidence is Θ₁ and Θ₂ is the angle of refraction ; v₁ is the velocity of light before entering the medium, and v₂ is the velocity of light inside the medium.

Given, angle if incidence is same, thus the velocity of light will also be same before entering the medium.

For our convenience, Θ₁ = Θ and v₁ = v

Thus, v₂ / v = sinΘ₂ / sinΘ

or, v₂ = (v / sinΘ) sinΘ₂

Here, (v / sinΘ) is constant.

Therefore, v₂ ∝ sinΘ₂

Thus, medium C with angle of refraction 400 will have the maximum velocity of light.

Answer 2

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