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Given that, the velocity of light in quartz = 1 . 5 × 10 8 m   s - 1 and velocity of light in glycerine = 9 4 × 10 8 m   s - 1 . If a slab made of quartz is placed in front of an object kept in glycerine (as shown in the figure), then the shift of the object produced by slab is

Options

  1. A6   cm
  2. B3 . 55   cm
  3. C9   cm
  4. D2   cm

Correct answer

A. 6   cm

Step-by-step solution

n = velocity of light in vaccum velocity of light in medium , velocity of light in vacuum = 3 × 10 8 m s - 1 n quartz = 2 ; n glycerine = 4 3 ⇒ n quartz n glycerine = 2 4 / 3 = 3 2 = μ rel shift = t 1 - 1 μ rel = 1 8 - 1 3 / 2 = 6 cm

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