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By what factor will the size of an object placed 10cm fro...

By what factor will the size of an object placed 10cm from a convex lens be increased if the image is seen on a screen placed 25cm from the lens?

A.

15.0

B.

2.5

C.

1.5

D.

0.4

Correct answer is B

Form the lens formula = 1/U + 1/V = 1/f
=> 1/10 + 1/25 = 1/f;
∴ (5 + 2) / 50 = 1/f
∴ f = 50/7cm
since the image is observed on a screen, it is a real image. Thus magnification
M = f/U-f

= __50/7
10 - 50/7

∴ M = 50/7
20/7

= 50/7 x 7/20 = 2.5