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The difference of speed of light in the two media A and B v A - v B is 2 . 6 × 10 7 m s - 1 . If the refractive index of medium B is 1 . 47 , then the ratio of refractive index of medium B to medium A is: (Given : speed of light in vacuum c = 3 × 10 8 m s - 1 )

Options

  1. A1 . 303
  2. B1 . 318
  3. C1 . 13
  4. D0 . 12

Correct answer

C. 1 . 13

Step-by-step solution

The speed of light in the medium B will be, v B = c μ B The speed of light in the medium A will be, v A = c μ A . Now, v A - v B = c 1 μ A - 1 μ B ⇒ 2 . 6 × 10 7 = 3 × 10 8 × 1 μ A - 1 1 . 47 ⇒ μ A = 1 . 13

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