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Q. The power of a convex lens is $2 $ dioptre. Its power is to be reduced to $1.5$ dioptre, by putting another lens in combination with it. Which of the following lenses will serve the purpose?

J & K CETJ & K CET 2012Ray Optics and Optical Instruments

Solution:

$P=P_{1}+P_{2}$
$P_{2}=P-P_{1}$
$=1.5-2=-0.5$
diopter $P_{2}$ is a concave lens
$f=\frac{1}{P} f_{2}=\frac{1}{0.5}=-2 \,m$