A thin prism of angle 15° made of glass of refractive index μ₁ = 1.5 is combined with another prism of glass of refractive index μ₂ = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

Question

Dr. Abubacker · Accepted Answer

[Solution from source] For no net deviation with thin prisms, (μ₁ − 1)A₁ = (μ₂ − 1)A₂, so 0.5 × 15° = 0.75 × A₂ and A₂ = 10°. Using the ratio of refractive indices directly instead of (μ − 1) leads to wrong angles. Answer (4).

Q. A thin prism of angle 15° made of glass of refractive index μ₁ = 1.5 is combined with another prism of glass of refractive index μ₂ = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

Explanation

Reviewed by Dr. Abubacker

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