Figure shows a spherical concave mirror of focal length f=5cm with its pole at (0,0) and principal axis along x-axis. There is a point object at (-40cm, 1cm), find the postion of image.

Explanation

According to sing convention,
`u=-40` cm
`h_(1)=+1` cm
`f=-5` cm
`1/v+1/u=1/f`
`rArr 1/v+1/(-40)=1/(-5)`
`v=(-40)/7` cm
`v=(-40)/7` cm
`h_(2)/h_(1)=(-v)/u`
`rArr h_(2)=-(-v)/u xx h_(1)=(-(-40/7)xx1)/(-40)=1/7` cm.
`:.` The position of images is `((-40)/7 cm, -1/7 cm)`