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Q. Two thin lenses of powers $12 \,D$ and $-2D$ respectively are placed in contact, the power focal length and nature respectively will be:

JIPMERJIPMER 2004

Solution:

Given : $P_{1}=12\, D,\, P_{2}=-2\, D$
Power of combination
$P=P_{1}+P_{2}=12-2=10\, D$
Focal length $f=\frac{1}{P}=\frac{1}{10} m =0.1\, m$
The combined lens will be convex (convergent)