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Question

A screen is placed 90 cm from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by 30 cm. Determine the focal length of the lens.

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Solution

v + u = 90;
v - u = 30;
hence v = 60 and u = 30;
Substitute u and v in lens formula to get focal length of lens = 20 cm

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