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Question

Physics Question on spherical lenses

The power of a convex lens is 22 dioptre. Its power is to be reduced to 1.51.5 dioptre, by putting another lens in combination with it. Which of the following lenses will serve the purpose?

A

A concave lens of focal length 2 m

B

A concave lens of focal lens 4 m

C

A convex lens of focal lens 2 m

D

A concave lens of focal length 1 m

Answer

A concave lens of focal length 2 m

Explanation

Solution

P=P1+P2P=P_{1}+P_{2}
P2=PP1P_{2}=P-P_{1}
=1.52=0.5=1.5-2=-0.5
diopter P2P_{2} is a concave lens
f=1Pf2=10.5=2mf=\frac{1}{P} f_{2}=\frac{1}{0.5}=-2 \,m