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JEE Main202312 Apr 2023Morning ShiftPhysicsRay OpticsActual

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12 cm . When viewed from the opposite side, the apparent distance of the bubble is observed as 4 cm . If the side of the ice cube is 24 cm , the refractive index of the ice cube is

Options

  1. A3 2
  2. B2 3
  3. C6 5
  4. D4 3

Correct answer

A. 3 2

Step-by-step solution

Let's assume that the original position of the bubble is x from one side of the ice cube of side a . When the bubble is seen from one side, it can be written that x μ = 12       . . . 1 For the view from the other side, it can be written that a - x μ = 4       . . . 2 From equations (1) and (2), it is given that 24 - 12 μ = 4 μ ⇒ μ = 24 16 = 1 . 5

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