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JEE Main201910 Apr 2019Morning ShiftPhysicsRay OpticsActual

A ray of light A O in vacuum is incident on a glass slab at angle 60 ° and refracted at angle 30 ° along O B as shown in the figure. The optical path length of light ray from A to B is:

Options

  1. A2 3 a + 2 b
  2. B2 a + 2 b
  3. C2 a + 2 b 3
  4. D2 a + 2 b 3

Correct answer

B. 2 a + 2 b

Step-by-step solution

Optical path length = O A + μOB = a c o s   60 o + μ b c o s   30 o = 2 a + μ 2 b 3 From Snell’s law, s i n   60 o = μ   s i n   30 o μ = 3 Optical path length = 2 a + 3 2 b 3 = 2 a + b

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