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Q.

A lens forms a sharp image on a screen on keeping a parallel sided transparent slab between the lens and  screen, it is found necessary to move the screen through a distance                     ‘x’ in order for the image to be again sharply focused. If thickness of the slab is ‘t’. then refractive index of the material of the slab is

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a

t−xt

b

tx

c

tt−x

d

xt

answer is C.

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Detailed Solution

Thickness of slab = t

shift=(1−1μ)t

x=(1−1μ)t

x=(μ−1μ)t

μx=μt−t

t=μt−μx

t=μ(t−n)

μ=tt−x

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