A thin prism of angle 15° made of glass of refractive index 1.5 is combined with another prism of refractive index 1.75. The combination produces dispersion without deviation. The angle of second prism is:
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Question

A thin prism of angle 15° made of glass of refractive index 1.5 is combined with another prism of refractive index 1.75. The combination produces dispersion without deviation. The angle of second prism is:

Options

G1 Physics · Accepted Answer

Step 1: Set opposing small-angle deviations equal. Step 2: (μ₁ − 1)A₁ = (μ₂ − 1)A₂. Step 3: (1.5 − 1) × 15° = (1.75 − 1) × A₂; A₂ = 7.5°/0.75 = 10°. Final answer: (B) 10°.