The face A C of a prism A B C of refracting angle 30 ° is silvered. A ray is incident on face A B at an angle of 45 ° as shown in figure. The refracted ray undergoes reflection at face A C and retraces its path. The refractive index of the prism is

Question

The face A C of a prism A B C of refracting angle 30 ° is silvered. A ray is incident on face A B at an angle of 45 ° as shown in figure. The refracted ray undergoes reflection at face A C and retraces its path. The refractive index of the prism is, 2, 3 2, 3 2, 4 3

MARKS App · Accepted Answer

In Δ A I P ⇒ 90 ° - r + 90 ° + 30 ° = 180 ° ⇒ - r + 30 ° = 0 ⇒ r = 30 ° Now, μ = sin ⁡ 45 ° sin ⁡ 30 ° ⇒ μ = 1 2 1 2 ⇒ μ = 2

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