Question

A convex mirror and a concave mirror of radius 10cm each are placed 15cm apart facing each other. An object is placed midway between them. If the reflection first takes place in the concave mirror and then in convex mirror, the position of the final image is
A. on the pole of the convex mirror
B. on the pole of the concave mirror
C. at a distance of 10cm from the convex mirror
D. at a distance of 5cm from the concave mirror

Answer 1

Correct Answer - a.
For a concave mirro,
`u=-(15)/(2)cm, v=?`
`f=(10)/(2)cm=-5cm`
`(1)/(v)=(1)/(f)-(1)/(u)-(1)/(-5)-(1)/(-15//2)`
`=(1)/(5)+(2)/(15)=(-1)/(15)`
or `v=-15cm`
Clearly, the position of the final image is on the pole of the convex mirror.