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Question

Physics Question on Ray optics and optical instruments

Lateral shift produced by a glass slab is X. When the slab is immersed in a liquid, for the same incident ray lateral shift produced will be

A

XX

B

Greater than XX

C

Less than XX

D

Zero

Answer

Greater than XX

Explanation

Solution

Lateral shift is given by,
X=tsin(ir)cosr=tsinδcosrX = \frac{t \sin\left(i -r\right)}{\cos r} = \frac{t \sin \delta }{\cos r}
When glass is placed in liquid and the same incident ray is used then lateral shift will be greater than XX because angle of deviation (δ)(\delta ) increases.