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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 20 cm. Determine the focal length of the lens.
Distance between object and image, D = 90 cm Distance through which lens is displaced, d = 20 cm
Now, D = u + v = 90 cm; d = u - v = 20 cm or d - v - u = 20 cm
so u = 55 cm or 35 cm and v = 35 cm or 55 cm
using lens formula, 1/f = 1/v + 1/u
1/f = 1/35 + 1/55
f = 21.4 cm
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regards
Ramesh
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