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

Options

A. at the pole of the concave mirror
B. at the pole of the convex mirror
C. at the object itself
D. 5 cm behind the convex mirror

Answer

B

Explanation

Image by concave mirror:
`(1)/(v)+(1)/((-15)/(2))=(1)/(-5)implies(1)/(v)=-(1)/(5)+(2)/(15)=(-3+2)/(15)`
`v=-15cm`
Image is formed at `P_2` i.e., at pole of convex mirror. Image by convex mirror:
Image of `P_2` is formed at `P_2` itself.