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MHT CET 2023 (12 May, Shift 1) · Polarisation

Polarisation question from MHT CET 2023 (12 May, Shift 1)

Q37MHT CET 2023 · 12 MAY · SHIFT 1Medium

Polarisation

A beam of light is incident on a glass plate at an angle of 60∘60^\circ. The reflected ray is polarized. If angle of incidence is 45∘45^\circ then angle of refraction is

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Answer: (a)

  1. Reflected ray polarised at 60∘60^\circ, so μ=tan⁡60∘=3\mu = \tan 60^\circ = \sqrt{3}.
  2. Snell's law at 45∘45^\circ: sin⁡r=sin⁡45∘3=123=16\sin r = \frac{\sin 45^\circ}{\sqrt{3}} = \frac{1}{\sqrt{2}\sqrt{3}} = \frac{1}{\sqrt{6}}
  3. So the answer is (a) sin⁡−1(16)\sin^{-1}\left(\frac{1}{\sqrt{6}}\right).
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