Physics · Geometrical Optics

JEE Main 2024 — 8 April, Shift 1 — Question 47

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:

  1. Option A:

    2:1\sqrt{2}: 1

    Correct
  2. Option B:

    1:21: 2

  3. Option C:

    1:21: \sqrt{2}

  4. Option D:

    2:12: 1

Answer: A

Step-by-step solution

sin⁡θc=μRμd=μ2μ1\quad \sin \theta_{c}=\frac{\mu_{R}}{\mu_{d}}=\frac{\mu_{2}}{\mu_{1}}

sin⁡45∘=μ2μ1\sin 45^{\circ}=\frac{\mu_{2}}{\mu_{1}}

⇒12=μ2μ1\Rightarrow \frac{1}{\sqrt{2}}=\frac{\mu_{2}}{\mu_{1}}

⇒μ1μ2=21\Rightarrow \frac{\mu_{1}}{\mu_{2}}=\frac{\sqrt{2}}{1}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Geometrical Optics
Topic
Introduction to Refraction of Light (Snell's Law)
Critical angle of incidence for a pair of optical media is 45 ° . The… | JEE Main 2024 PYQ with Solution · DhiX AI