A luminous object is placed 20 cm from s...

A luminous object is placed 20 cm from surface of a convex mirror and a plane mirror is set so that virtual images formed in two mirrors coincide. If plane mirror is at a distance of 12cm from object. Then focal length of convex

20cm

15cm

10cm

5cm

Text Solution

Verified by Experts

The correct Answer is:

For convex mirror, `u+v=12xx2=24cm`
(because for plane mirror, distance of object `=` distance of image). Also, here for the convex mirror `u=20cm`, therefore `v=4cm` . Hence, using
`(1)/(v)+(1)/(u)=(1)/(f)`
We find `f=5cm`

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