A spherical mirror is to be used to form an image six times

A spherical mirror is to be used to form an image, six times as tall as an object, on a screen positioned 5.8 m from the mirror.

(a) Describe the type of mirror required.
The mirror is a  ---Mirror Type--- convex concave mirror and it has a focal length of  m.

(b) Where should the mirror be positioned relative to the object?
The object should be  m in front of the mirror.

Solution

(a). The mirros is concave type.

Magnification M = 6

             v / u = 6

From this image distance v = 5.8 m

Where u = object distance =?

So, u = v / 6 = 0.966 m

From this relation ( 1/ v ) + ( 1/ u ) = ( 1/ f)

                     ( 1/ f) = 0.1724 + 1.034

                            = 1.206

                        f = 0.828 m

The image is virtual and upright

Object and image are on both sides of the mirror