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JEE Main 20248 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2024 · 8 April · Morning Shift · Physics · Ray Optics

Critical angle of incidence for a pair of optical media is 45^ ....

Critical angle of incidence for a pair of optical media is 45∘45^{\circ}. The refractive indices of first and second media are in the ratio:

Options

  1. A1:21: \sqrt{2}
  2. B2:1\sqrt{2}: 1
  3. C2:12: 1
  4. D1:21: 2

Correct answer

B. 2:1\sqrt{2}: 1

Step-by-step solution

sin⁡θc=μRμd=μ2μ1sin⁡45∘=μ2μ1⇒12=μ2μ1⇒μ1μ2=21\begin{aligned} & \sin \theta_{\mathrm{c}}=\frac{\mu_{\mathrm{R}}}{\mu_{\mathrm{d}}}=\frac{\mu_2}{\mu_1} \\ & \sin 45^{\circ}=\frac{\mu_2}{\mu_1} \\ & \Rightarrow \frac{1}{\sqrt{2}}=\frac{\mu_2}{\mu_1} \\ & \Rightarrow \frac{\mu_1}{\mu_2}=\frac{\sqrt{2}}{1}\end{aligned}
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