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WBJEE · Physics · Ray Optics

A ray of light is incident on a right angled isosceles prism parallel to its base as shown in the figure. Refractive index of the material of the prism is \(\sqrt{2}\). Then. which of the following statement(s) is/are true?

  1. A The refiection at \(P\) is total internal.
  2. B The reflection at \(Q\) is total internal.
  3. C The ray emerging at \(R\) is parallel to the ray incident at \(S .\)
  4. D Total deviation of the ray is \(150^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(C) The ray emerging at \(R\) is parallel to the ray incident at \(S .\)

Step-by-step Solution

Detailed explanation

Critical angle \(\theta_{C}=\sin ^{-1}\left(\frac{1}{\sqrt{2}}\right)=45^{\circ}\) Snell's law at points, \(\left(\because n_{1} \sin \theta_{1}=n_{2} \sin \theta_{2}\right)\) \(1 \sin 45^{\circ}=\sqrt{2} \sin \theta\) \(\therefore \quad \theta=30^{\circ}\) At \(P \because\)…