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JEE Advanced 2010Paper 1
Exam
JEE Advanced
Year
2010
Paper
Paper 1
Subject
Physics
Chapter
Ray Optics

JEE Advanced 2010 · Paper 1 · Physics · Ray Optics

A ray O P of monochromatic light is incident on the face A B of...

A ray OPO P of monochromatic light is incident on the face ABA B of prism ABCDA B C D near vertex BB at an incident angle of 60∘60^{\circ} (see figure). If the refractive index of the material of the prism is 3\sqrt{3}, which of the following is (are) correct? A ray O P of monochromatic light is incident on the face A B of prism A B C D near vertex B at an incident angle of 60^

Options

  1. AThe ray gets totally internally reflected at face CDC D
  2. BThe ray comes out through face ADA D
  3. CThe angle between the incident ray and the emergent ray is 90∘90^{\circ}
  4. DThe angle between the incident ray and the emergent ray is 120∘120^{\circ}

Correct answer

A. The ray gets totally internally reflected at face CDC D

Step-by-step solution

3=sin⁡60∘sin⁡r∴r=30∘\begin{aligned}& \sqrt{3}=\frac{\sin 60^{{}^{\circ}}}{\sin r}\\ & \therefore r=30^{{}^{\circ}} \end{aligned}A ray O P of monochromatic light is incident on the face A B of prism A B C D near vertex B at an incident angle of 60^θC=sin⁡−1\\ \theta_C=\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)oror\sin \theta_C=\frac{1}{\sqrt{3}}=0.577AtpointAt pointQ,angleofincidenceinsidetheprismis, angle of incidence inside the prism isi=45^{{}^{\circ}}.Since. Since\sin i=\frac{1}{\sqrt{2}}isgreaterthanis greater than\sin \theta_C=\frac{1}{\sqrt{2}},raygetstotallyinternallyreflectedatface, ray gets totally internally reflected at faceC D.Pathofrayoflightafterpoint. Path of ray of light after pointQisshowninfigure.Fromthefigure,wecanseethatanglebetweenincidentrayis shown in figure. From the figure, we can see that angle between incident rayO Pandemergentrayand emergent rayR Sisis90^{{}^{\circ}}$. Therefore, correct options are (a), (b) and (c).
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