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AP EAMCET · PHYSICS · Ray Optics

The angle of polarisation for a medium with respect to air is \(60^{\circ}\). The critical angle of this medium with respect to air is

  1. A \(\sin ^{-1} \sqrt{3}\)
  2. B \(\tan ^{-1} \sqrt{3}\)
  3. C \(\cos ^{-1} \sqrt{3}\)
  4. D \(\sin ^{-1} \frac{1}{\sqrt{3}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sin ^{-1} \frac{1}{\sqrt{3}}\)

Step-by-step Solution

Detailed explanation

Angle of polarisation, \(\mathrm{i}_{\mathrm{p}}=60^{\circ}\) \(\therefore \quad \mu=\tan \mathrm{i}_{\mathrm{p}}=\tan 60^{\circ}=\sqrt{3}\) \(\therefore \quad\) Critical angle, \(C=\sin ^{-1}\left(\frac{1}{\mu}\right)=\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)\)
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