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Q.

Two point objects are placed on principal axis of a thin converging lens. One is 20 cm from the lens and other is on the other side of lens at a distance of 40 cm from the lens. The images of both objects coincide. The magnitude of focal length of lens is

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a

80cm

b

40cm

c

(80/3)cm

d

(40/3)cm

answer is C.

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Detailed Solution

for object O1 image is virtual i.e. on the same side of  the object-1v+120=1f                                        ......(1)for object O2 image is real 1v+140=−1f                        .......(2)from equation 1 and 2 we get  f = 80/3.
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Two point objects are placed on principal axis of a thin converging lens. One is 20 cm from the lens and other is on the other side of lens at a distance of 40 cm from the lens. The images of both objects coincide. The magnitude of focal length of lens is