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Question

A plane mirror is placed at the bottom of the tank containing a liquid of refractive index μ . P is a small object at a height h above the mirror. An observer O-vertically above P outside the liquid sees P and its image in the mirror. The apparent distance between these two will be


  1. 2μh
  2. 2hμ
  3. 2hμ1
  4. h(1+1μ)


Solution

The correct option is B 2hμ

Image formation by a mirror (either plane or spherical) does not depend on the medium.
The image of P will be formed at a distance h below the mirror. If d = depth of liquid in the tank.

Apparent depth of P=x1=dhμ
Apparent depth of the mirror is =x2=dμ
Apparent distance between P and mirror =x2x1=hμ
Apparent distance between the image and P  is =2hμ

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