A plane mirror is placed at the bottom of the tank containing a liquid of refractive index `mu`. 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. 2nh
B. `(2h)/(n)`
C. `(2h)/(n-1)`
D. `h(1 + (1)/(n))`

Answer

B

Explanation

Image formed by a mirror does not depend on the medium.
Image formed by mirror at distance h below the mirror.
`d_(app)" of P "= (d - h)/(n)`
`d_(app) " of image of P " = (d + h)/(n) `
Apparent distance between P and its image
`= (d + h)/(n) - (d- h)/(n) = (2h)/(n)` .