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If light travels a distance x in time t 1 in air and 10 x distance in time t 2 in a certain medium, then find the critical angle for total internal reflection, of the medium.

Options

  1. As i n - 1 20 t 1 t 2
  2. Bs i n - 1 10 t 1 t 2
  3. Cs i n - 1 t 1 t 2
  4. Ds i n - 1 t 2 10 t 1

Correct answer

B. s i n - 1 10 t 1 t 2

Step-by-step solution

μ = x t 1 10 x t 2 = t 2 10 t 1 sin ⁡ θ c = 1 t 2 / 10 t 1 = 10 t 1 t 2 ⇒ θ c = s i n - 1 10 t 1 t 2

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