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Question: A point luminous object (O) is at a distance h from front face of a glass slab of width d and of ref...

A point luminous object (O) is at a distance h from front face of a glass slab of width d and of refractive indexμ\mu.On the back face of slab is a reflecting plane mirror. An observer sees the image of object in mirror as shown in figure. Distance of image from front face as seen by observer will be:

A

B

2h+2d

C

h + d

D

h+dμ\mathrm { h } + \frac { \mathrm { d } } { \mu }

Answer

Explanation

Solution

: As shown in figure glass slab will form the image of bottom i.e., mirror MM’ at a depth from its front face. So the distance of object O from virtual mirror mm’ will be

Now as a plane mirror forms image behind the mirror at the same distance as the object is in front of it, the distance of image I from mm’ will b and as the distance of virtual mirror from the front face of slab is the distance of image I from front face as seen by observer will be

=[h+dμ]+dμ=h+2 dμ= \left[ \mathrm { h } + \frac { \mathrm { d } } { \mu } \right] + \frac { \mathrm { d } } { \mu } = \mathrm { h } + \frac { 2 \mathrm {~d} } { \mu }