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Question

# An object is present on the principal axis of a concave mirror at a distance 30 cm from it. Focal length of mirror is 20 cm. Image formed by mirror is :

A
at a distance 60 cm in front of mirror
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B
at a distance 60 cm behind the mirror
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C
at a distance 12 cm in front of mirror
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D
at a distance 12 cm behind the mirror
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Solution

## The correct option is A at a distance 60 cm in front of mirrorObject distance u=−30 cm Focal length of the mirror f=−20 cmUsing mirror formula 1v+1u=1f∴ 1v+1−30=1−20⟹v=(30)(20)−30+20=−60 cmSince image distance comes out to be negative, thus image is formed in front of the mirror at a distance of 60 cm.

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