Question

A convex mirror used for a rear view on an automobile has a radius of curvature of 3.0m. If a bus is located at 5.0m find the position and nature size of an image.

Answer 1

given :

R=3m

f=R/2=3/2=1.5m

u=5m

v=?

Mirror formula:

1/f=1/u+1/v

by sign conventions:

1/1.5=1/-5+1/v

1/v=1/1.5+1/5⇒6.5/7.5

v=7.5/6.5

=1.15m

∴The image is virtual seen at the back of mirror.

m=hi/ho=-v/u

-1.15/-5=0.23

∴Image is erect and diminished in size by a factor of 0.23

Answer 2

Image is formed 1. 15 m from the mirror

Nature of the image : virtual erect and dimished