A converging lens of focal length f is placed in front of a fixed obje

1.	A converging lens of focal length f is placed in front of a fixed object, at a distance f from it. The lens is then moved away from the object with a constant velocity. The velocity of the image will (a) be constant (b) always be directed towards the object (c) pass through a maximum (d) be zero when the distance of the lens from the object is 2f
Answer» Correct Answer is: (d) be zero when the distance of the lens from the object is 2f Let u = object distance, v = image distance. x = \|u\| + v = the distance of the image from the fixed object. The velocity of the image = x . x becomes minimum for \|u\| = v = 2f Hence, x = 0.

A converging lens of focal length f is placed in front of a fixed object, at a distance f from it. The lens is then moved away from the object with a constant velocity. The velocity of the image will (a) be constant (b) always be directed towards the object (c) pass through a maximum (d) be zero when the distance of the lens from the object is 2f

Answer»

Correct Answer is: (d) be zero when the distance of the lens from the object is 2f

Let u = object distance, v = image distance.

x = |u| + v = the distance of the image from the fixed object.

The velocity of the image = x .

x becomes minimum for |u| = v = 2f

Hence, x = 0.

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