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Question

A convex mirror has a focal length f. A real object is placed in front of it, at a distance f from the pole. At what distance from the pole the image will be formed :

A
Infinity
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B
f
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C
f2
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D
2f
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Solution

The correct option is C f2

In case of real object placed in front of convex mirror at a distance f.
According to sign convention,
Position of object, u=f
Focal length, f=+f
Applying mirror formula
1v+1u=1f
1v+1(f)=1f
1v=2f
v=f2
The positive sign of v indicates image is formed behind the mirror.

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