Physics JAMB

If U is the object distance and V the image distance; which of the following expressions gives the linear magnification produced by a convex lens of focal length f?

A. u/f + f
B. u/v +1
C. v/f + 1
D. v/f – 1

Correct Answer:

Option D = v/f – 1

Explanation

Magnification, M = v/u = v (1/u)
And for the Lens formula 1/u + 1/v = 1/f
=> 1/u = 1/f – 1/v
∴M = V(1/u)
= V(1/f – 1/v) = v/f – v/v = v/f – 1
∴M = v/f – 1

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