Question

A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image?

Answer 1

A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image?  

`1/f=1/v+1/u` 

⇒`1/1.5+1/v+1/-5` 

⇒`10/15+1/5=1/v` 

⇒`10/15+3/15=1/v` 

⇒`1/v=13/15`  

=`v=15/13=1.15m` 

Thus, the distance of the image 'v' is 1.15 m behind the mirror.
Now, using the magnification formula, we get 

`m=(-v)/u` 

`m=((-1.15))/-5 =115/500=0.223` 

Thus, the image is virtual, erect and smaller in size.