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Q.

A point luminous object (O) is at a distance h from front face of a glass slab of width h and of refractive  index  μ. The back face of slab is a reflecting plane mirror. An observer sees the image of object in mirror

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Distance of image from front face of the slab as seen by observer will be

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a

h1+1μ

b

2h1+μ

c

h1+2μ

d

2h

answer is D.

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Detailed Solution

As shown in figure glass slab with form the image of bottom i.e., mirror  MM1 at depth (dμ) from its front face. So the distance of object O from virtual mirror  mm1 will be h+(dμ)

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 mm1  will be h+(du)  and as the distance of virtual mirror from the front as seen by observer = [h+dμ]+dμ=h+2dμ

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A point luminous object (O) is at a distance h from front face of a glass slab of width h and of refractive  index  μ. The back face of slab is a reflecting plane mirror. An observer sees the image of object in mirrorDistance of image from front face of the slab as seen by observer will be