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MHT CET 2023 (11 May, Shift 1) · Prism, Dispersion & Scattering

Prism, Dispersion & Scattering question from MHT CET 2023 (11 May, Shift 1)

Q46MHT CET 2023 · 11 MAY · SHIFT 1Medium

Prism, Dispersion & Scattering

The prism has refracting angle 'AA'. 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 the same path due to reflection at the silvered surface. The refractive index of the material of the prism is

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Answer: (d)

  1. Retracing needs normal incidence on the silvered face: r2=0⇒r1=Ar_2 = 0 \Rightarrow r_1 = A.
  2. sin⁡2A=μsin⁡A⇒μ=2cos⁡A\sin 2A = \mu\sin A \Rightarrow \mu = 2\cos A
  3. So the answer is (d) 2cos⁡A2\cos A.
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