An upright image in a convex lens is magnified 3 times. If the focal length of the lens is 30 cm, wh
Source: JAMB · 2023
An upright image in a convex lens is magnified 3 times. If the focal length of the lens is 30 cm, what is the object distance?
Explanation
An upright magnified image from a convex lens is virtual. With magnification 3, the image distance is v = −3u (virtual).
1/f = 1/u + 1/v = 1/u − 1/(3u) = 2/(3u).
So 1/30 = 2/(3u), giving u = 60 ÷ 3 = 20 cm.
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