Question

`the radius of curvature of a convex mirror used as a rear view mirror in a moving car is 2 metres.a truck is comming from behind it at a distance of 3.5 meters. calculate

1. position
2. size of the image relative to the size of the truck.

what will be the nature of the image?

Answer 1

Object distance, u = -3.5 m

Radius of curvature, R = 2 m

Using,

f=R/2

f=1m

1/f = 1/v + 1/u

1 = 1/v – 1/3.5

=> 1/v = 1 + 1/3.5

=> v = 0.77 m

The image is at a distance 0.77 m from the mirror on the side opposite to the object.

Size of the image is = -v/u = -0.77/(-3.5) = 0.22

The size of the image is 0.22 times the object. The image is virtual, diminished and erect.