Where should a person stand straight from the pole of a convex mirror of focal length 2.0 m on its axis, so that the image formed become half of his original height?

Options

A. `-2.60 m`
B. `-4 .0 m`
C. `-0.5 m`
D. `-2.0 m`

Answer

D

Explanation

Given, `m=+(1)/(2),f=2 m=200 cm, u = ?`
`therefore` Magnification, `m=(f)/((f-u))`
`rArr " " +(1)/(2)=(200)/((200-u))`
`rArr " " 200-u=400 rArr u=-200 cm`
`rArr " " u=-2 m`