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Question

Physics Question on spherical lenses

Two lenses of power +12D+\, 12 \,D and 2D-2\, D are combined together. What is their equivalent focal length ?

A

16.6 cm

B

10 cm

C

8.33 cm

D

12.5 cm

Answer

10 cm

Explanation

Solution

Given: Power of first lens (P1)=+12D\left(P_{1}\right)=+12\, D and power of second lens (P2)=2D\left(P_{2}\right)=-2\, D. We know that power of the combination (P)=P1+P2=12+(2)=+10D(P)=P_{1}+P_{2}=12+(-2)=+10\, D. \therefore\,\,\,\, Equivalent focal length (F)=1P=110m=10cm(F)=\frac{1}{P}=\frac{1}{10} m =10 \,cm