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Question

A point object is placed at 15 cm in front of a convex lens of focal length 10 cm. Where shall we place a convex mirror of focal length 13 cm so that real image and object coincide?
  1. 4 cm from lens 
  2. 2 cm from lens 
  3. 3 cm from lens 
  4. 6 cm from lens


Solution

The correct option is A 4 cm from lens 
Using Lens formula
1v1u=1f;

1v=110115

v=30 cm.
In order the ray to retrace the path, the ray must be incident normal on the mirror.
Hence, distance of mirror from I should be equal to R=2f=26 cm
Distance of mirror from lens should be
3026=4 cm from lens.

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