A converging lens of focal length 20 cm and a converging mirror of focal length 10 cm are placed 60 cm apart with common principal axis. A point source is placed in between the lens and the mirror at a distance of 50 cm from the lens. Find the locations of the images formed.

Explanation

Consider the reaction,

Directly by lens

u=-50 cm,f=20 cm,v=?
`1/v-1/u=1/f rArr 1/v-1/(-50)=1/20`
`1/v=1/20-1/50=3/100rArrv=100/3`cm
By mirror and lens By mirror, image is formed a infinite because object is at focus of mirror.
By lens, image is formed at focus of lens.