A convex mirror of focal length f produced an image `(1//n)^(th)` of the size of the object. The distance of the object from the mirror is

Options

A. `(n-1)f`
B. `[(n-1)/(n)]f`
C. `[(n+1)/(n)]f`
D. `(n+1)f`

Answer

A

Explanation

Magnification, `m=+(1)/(n)=-(v)/(u)s`
`v=-(u)/(n)`
From mirrot formula, `(1)/(f)=(1)/((-(u)/(n)))+(1)/(u)`
`therefore` The distance of the object from the mirror, `u=-(n-1)f`