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Question

A linear object is placed along the axis of a mirror as shown in figure. If f is the focal length of the mirror, then the length of image is


A
2f3
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B
f
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C
f3
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D
None of these
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Solution

The correct option is B f
For A
u=3f2
using mirror formula,
1v+1u=1f
1v23f=1f
1v=23f1f
v=3f
Image of A is at 3f from pole of mirror.

For B
u=2f
using mirror formula,
1v+1u=1f
1v12f=1f
1v=12f1f
v=2f
Image of B is at 2f from pole of mirror.
Length of image of AB is 3f2f=f

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