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Question

A concave lens of focal length forms an image which is n times the size of the object. The distance of the object from the lens is


  1. (1+nn)f

  2. (1n)f

  3. (1+n)f

  4. (1nn)f


Solution

The correct option is D

(1nn)f


For concave lens 1v1u=1f

where v is the distance of image from the lens, u is the distance of object from the lens and f is the focal length of the lens
uv1=uf
Since, image size is equal to n times the size of object, uv can be written as uu×n=1n 
uv1=uf 
(1n1)=uf
u=(1nn)f

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