Q.

In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What is speed of the image with respect to earth when the object is at a distance 2f from the lens? (f is the focal length):

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a

2 V

b

4 V

c

3 V

d

V

answer is D.

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Detailed Solution

Vil=vu2Vo/l Vi−Vl=+2f−2f2V0−Vl Vi−(−V)=(−1)2[V−(−V)]⇒  Vi=V
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In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What is speed of the image with respect to earth when the object is at a distance 2f from the lens? (f is the focal length):