A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt

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📘Question

A sand dropper drops sand of mass m(t) on a  conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e. dm v dt
. If P is the power delivered to run the belt at constant speed then which of the following relationship is true

                                                           (JEE-2025)

✅ Answer

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e. dm v dt . If P is the power delivered to run the belt at constant speed then which of the following relationship is true

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