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CUET · PHYSICS · PYQ PAPER 2025

Calculate the speed of light in a medium in which the critical angle is 45° :

  1. A \(2.12 \times 10^8 \text{ m/s}\)
  2. B \(3 \times 10^8 \text{ m/s}\)
  3. C \(3\sqrt{2} \times 10^8 \text{ m/s}\)
  4. D \(\sqrt{2} \times 10^8 \text{ m/s}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(2.12 \times 10^8 \text{ m/s}\)

Step-by-step Solution

Detailed explanation

\(n = \frac{1}{\sin(\theta_c)}\) \(v = \frac{c}{n}\) \(v = c \times \sin(\theta_c)\) \(v = (3 \times 10^8 \text{ m/s}) \times \sin(45^\circ)\) \(v = (3 \times 10^8 \text{ m/s}) \times \frac{1}{\sqrt{2}}\) \(v = 2.12 \times 10^8 \text{ m/s}\)