Optics Question 116

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 see P and its image in the mirror. The apparent distance between these two will be

Options:

A) 2μh

B) 2hμ

C) 2hμ1

D) h(1+1μ)

Show Answer

Answer:

Correct Answer: B

Solution:

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 image of P=x2=d+hμ

Apparent distance between P and it’s image =x2x1=2hμ



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