Q.

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

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a

7.5 cm

b

15 cm

c

45 cm

d

30 cm

answer is D.

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Detailed Solution

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μ=cv, μ=3 x 1082 x 108=1.5 For plano covex lens

1f=μ-1R, f=Rμ-1 ; R2=r2+R-y2

(Neglecting y2)

R=r22yR=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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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