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Question

A concave mirror of focal length f produces an image n times the size of the object. If the image is real, then the distance of the object from the mirror is :

A
(n1)f
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B
(n+1n)f
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C
(n1n)f
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D
(n+1)f
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Solution

The correct option is B (n+1n)f
Given:
Focal length of the mirror =f
The size of the image is n times the size of the object.
So, magnification, m=n
[image is real]
Also, m=vu
m=ffu (v=ufuf)
n=ff(u)
[as per sign convention for concave mirror]
n=ff+u
nfnu=f
f(n+1)=nu
u=f(n+1)n
Thus, the distance of the object from the mirror is f(n+1)n

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