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An object 4 cm high is placed 15 cm from a conc... - JAMB Physics 2010 Question

An object 4 cm high is placed 15 cm from a concave mirror of focal length 5 cm. The size of the image is

A
2 cm
B
3 cm
C
4 cm
D
5 cm
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Correct Option: A

(1)/v + (1)/u = (1)/f

(1)/v + (1)/15 = (1)/5

(1)/v = (1)/5 - (1)/15 = (3 - 1)/15 = (2)/15

∴ v = (15)/2 = 7.5 cm

magnification = (v)/u = (image size)/object size

(7.5)/15 = (X)/4

∴ image size. X = (7.5 x 4)/15 = 2 cm

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