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Question

A ray incident at angle θ on a face PQ of glass slab and passes through the opposite face RS as shown below. d is the lateral displacement of the ray.

If whole system is placed in the water whose refractive index is less than that of glass slab, then the lateral shift (d′)

A
Will be less than d
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B
Will be greater than d
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C
Will be equal to d
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D
Will become zero
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Solution

The correct option is A Will be less than d
If we compare the refractive index of air, water and glass, then
μair<μwater<μglass
μglassμair>μglassμwater
(sin isin r)airglass>(sin isin r')waterglass
sin r' > sin r
r>r (θ<90o, where θ is the angle of refract ion)
When the whole system is immersed in water, then the angle of refraction from the first surface increases and hence the lateral displacement decreases [i.e, d′ < d].
Hence, the correct answer is option (a).

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