Question

A large concave mirror has a radius of curvature of 1.5 m. A person stands 10 m in front of the mirror. Where is the person's image?

Answer 1

Given,
The radius of curvature of the mirror 'R' = -1.5m
Focal length of the mirror  `f=1/R=1/1.5=0.75m` 

Distance of the object 'u' =-10 m
We have to find the distance of the image 'v'.
Using the mirror formula, we get 

`1/f=1/v+1/u` 

`1/0.75=1/v+1/-10` 

`-100/75=1/v-1/10` 

or`1/v=1/10-100/75` 

or`1/v=1/10-4/3` 

or`1/v=3/30-40/30`

or `1/v=(-37)/30` 

or v=(-30)/37

or v=0.81 m  

Thus, the person's image will be formed at a distance of 0.81 m from the mirror.