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MHT CET 2026 (20 Apr, Shift 1) · Prism, Dispersion & Scattering

Prism, Dispersion & Scattering question from MHT CET 2026 (20 Apr, Shift 1)

Q15MHT CET 2026 · 20 APR · SHIFT 1Medium

Prism, Dispersion & Scattering

The prism has refracting angle A. The second refracting surface of the prism is silvered. Light ray falling on first refracting surface with angle of incidence 2A2A, reaches the second surface and returns back through same path due to reflection at the silvered surface. The refractive index of the material of prism is

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Answer: (b)

  1. To retrace its path, the ray must hit the silvered face normally: r2=0r_2 = 0, so r1=Ar_1 = A.
  2. Snell's law at the first face: sin⁡2A=μsin⁡A\sin 2A = \mu\sin A
  3. μ=2sin⁡Acos⁡Asin⁡A=2cos⁡A\mu = \dfrac{2\sin A\cos A}{\sin A} = 2\cos A
  4. So the answer is (b) 2cos⁡A2\cos A.
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