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Question

Rays from a lens are converging toward a point P, as shows in figure. How much thick glass plate having refractive index 1.6 must be located between the lens and point P, so that the image will be formed at Pâ€²?

A
0.8 cm
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B
1.6 cm
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C
5 cm
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D
2.4 cm
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Solution

The correct option is A 0.8 cmDue to insertion of glass plate/slab, the image will get shifted by amount s in the direction of the incident ray on the slab. Normal shift due to refraction from slab, PP′=s=0.3 cm Since the surrounding medium is air, using formula for normal shift, ⇒t(1−1μ)=0.3 t(1−11.6)=0.3 t(0.61.6)=0.3 ∴t=0.8 cm Why this question?Always remember that inserting a glass plate will always shift the image position, whether it is a mirror or lens.

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