Physics · 2025
JEE Main · 29 January 2025, Shift 2 · Q27
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…
A sand dropper drops sand of mass $\displaystyle \mathrm{m}(\mathrm{t})$ on a conveyer belt at a rate proportional to the square root of speed $\displaystyle (v)$ of the belt, i.e. $\displaystyle \frac{\mathrm{dm}}{\mathrm{dt}} \propto \sqrt{v}$. If P is the power delivered to run the belt at constant speed then which of the following relationship is true ?
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \mathrm{P}^2 \propto v^5$
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JEE Main 2025 Physics question, with the answer from NTA’s final answer key. Where our answers come from.