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A converging beam of light converges towards a point 20 cm behind an equiconvex lens placed in the path of the beam. After refraction through the lens, the beam converges at a distance of 10 cm from the lens. If refractive index of glass is 1.5, find the radius of curvature of the curved surfaces of the lens.

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a

40 cm

b

30 cm

c

20 cm

d

10 cm

answer is C.

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Detailed Solution

1+10−1+20=1f⇒1f=120⇒f=20 cmNow, 2μ−1R=1f⇒R=2μ−1f=21.5−1×20 cm⇒R=20 cm

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A converging beam of light converges towards a point 20 cm behind an equiconvex lens placed in the path of the beam. After refraction through the lens, the beam converges at a distance of 10 cm from the lens. If refractive index of glass is 1.5, find the radius of curvature of the curved surfaces of the lens.