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Diameter of a plano - convex lens is 6 cm and its thickness at the centre is 3 mm. Then the focal length of the lens, if the speed of light in the material of lens is 2 × 108 m/s

a
7.5 cm
b
15 cm
c
45 cm
d
30 cm

detailed solution

Correct option is D

μ=cv, μ=3 x 1082 x 108=1.5 For plano covex lens1f=μ-1R, f=Rμ-1 ; R2=r2+R-y2(∴Neglecting y2)R=r22y⇒R=9 x 10-42 x 3 x 10-3=0.15 m ; R=15 cm Focal length f=151.5-1=30 cm

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