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  4. A diverging lens of focal length -10 cm is moving towards right with a velocity 5 m / s. An object is placed on the principal axis is moving towards left with a velocity 3 m / s . What is the velocity of the image at the instant when the lateral magnification produced is (1/2) ? (All velocities are measured with respect to ground)

Q. A diverging lens of focal length cm is moving towards right with a velocity m s. An object is placed on the principal axis is moving towards left with a velocity 3 m s . What is the velocity of the image at the instant when the lateral magnification produced is ? (All velocities are measured with respect to ground)

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Solution:

Both Object velocity and Image velocity are w.r.t the pole. So, we have to find out velocity of object and image w.r.t pole.

We know the magnification formula :

Applying this :

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