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JEE Main202311 Apr 2023Morning ShiftPhysicsRay OpticsActual

The critical angle for a denser-rarer interface is 45 ° . The speed of light in rarer medium is 3 × 10 8 m s - 1 . The speed of light in the denser medium is:

Options

  1. A3 . 12 × 10 7   m   s - 1
  2. B5 × 10 7   m   s - 1
  3. C2 . 12 × 10 8   m   s - 1
  4. D2 × 10 8   m   s - 1

Correct answer

C. 2 . 12 × 10 8   m   s - 1

Step-by-step solution

The critical angle and the refractive index of a media are related by the formula: sin θ c = 1 μ       . . . 1 Substitute the value of the critical angle into equation (1) and solve to calculate the refractive index of the medium. sin 45 ° = 1 μ ⇒ 1 2 = 1 μ ⇒ μ = 2 The refractive index of the medium can also be written as μ = c v       . . . 2 Substitute the values of the known parameters into equation (2) and solve to calculate the requir

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