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Question

A plane mirror is approaching you at 10 cms1. Your image shall approach you with a speed of:
  1. 10 cms1
  2. 20 cms1
  3. 40 cms1
  4. 5 cms1


Solution

The correct option is B 20 cms1
Given:
Speed of mirror, vm=10 cms1

Initially,
Let the distance between the object and the mirror be x.
For a plane mirror, object distance is equal to the image distance.

Distance between object and image: 
so=2x

After time t,
Distance between the mirror and the object,
u=xvmt
Distance between object and image after time t: 
st=2x2vmt

Distance travelled by image in time t is:
d=sost
d=2vmt

Speed of the image,
vi=dt=2vm
vi=20 cms1

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