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/dt ∝ √(v). If P is the power delivered to run the belt at constant speed then which of the following relationship is true ?

Laws of Motion: JEE Main 2025 Physics question

JEE Main 2025 · 29 Jan, Evening shift · Q28

JEE Main 202529 Jan, Evening shiftPhysicsMediumLaws of Motion70× since 2002

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.

\frac{dm}{dt} \propto \sqrt{v}

. If P is the power delivered to run the belt at constant speed then which of the following relationship is true ?

JEE Main 2025 Laws of Motion Question with Solution (29 Jan Evening shift, Q28) | JEE Arc