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Question

A point source of light is moving at a rate of 2 cm-s1 towards a thin convex lens of focal length 10 cm along its optical axis. When the source is 15 cm away from the lens the image is moving at


  1. 4 cm-s1 towards the lens

  2. 8 cm-s1 towards the lens

  3. 4 cm-s1 away from the lens

  4. 8 cm-s1 away from the lens


Solution

The correct option is D

8 cm-s1 away from the lens


dvdt=v2u2dudt

&1v=1F+1u

1V=110+115

1v=3230

v =30 cm

dvdt=(1F)2.2

=8 cm/s away from lens

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