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Q.

The aperture diameter of a plano convex lens is 6 cm and it’s thickness in the middle is 3 mm. If refractive index of the material of the lens is 1.5, find its focal length (in cm).

(Round off to the nearest integer)

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answer is 30.

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Detailed Solution

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From ΔCAB

R2=(R−0.3)2+32

R2=R2+0.09−0.6R+9

0.6R=9.09

R=90.96=15.15cm

1f=(μ−1)1R⇒f=Rμ−1=15.1512=30.3cm

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