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Question

# An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be

A
30 cm away from the mirror
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B
36 cm away from the mirror
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C
36 cm towards the mirror
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D
30 cm towards the mirror
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Solution

## The correct option is B 36 cm away from the mirror Using mirror formula. ∴1f=1v1+1u1(u1=−40 cm)∴1−15=1v1−140∴v1=−40+15−40+15∴v1=−24 cmWhen object is placed 20 cm towards the mirro?u2=−20cm1f=1v2+1u2⇒1−15=1v2−120⇒v2=−15−20−20+15⇒v2=−60 cmSo, the image will be shift away from mirror|v2||v1|∴60−24∴36 cm away from the mirrorHence, (B) is correct option

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