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Question: A boy of height I m stands in front of a convex mirror. His distance from the mirror is equal to its...

A boy of height I m stands in front of a convex mirror. His distance from the mirror is equal to its focal length. The height of his image is :

A

0.25m

B

0.33m

C

0.5m

D

0.67m

Answer

0.5m

Explanation

Solution

: Let f be focal length of the convex mirror. According to new Cartesian sign convention object distance, , focal length = + f

According to mirror formula

of of

The image is formed at a distance behind the mirror

It is a virtual image.

Magnification, ,

Also,

∴hI=mhO=12(1 m)=0.5 m\therefore \mathrm { h } _ { \mathrm { I } } = \mathrm { mh } _ { \mathrm { O } } = \frac { 1 } { 2 } ( 1 \mathrm {~m} ) = 0.5 \mathrm {~m}