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JEE MAIN 2025
29-01-2025 SHIFT-2
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. $\frac{\mathrm{dm}}{\mathrm{dt}} \propto \sqrt{v}$. If P is the power delivered to run the belt at constant speed then which of the following relationship is true ?
Select the correct option:
A
$\mathrm{P} \propto \sqrt{v}$
B
$\mathrm{P} \propto v$
C
$\mathrm{P}^{2} \propto v^{5}$
D
$\mathrm{P}^{2} \propto v^{3}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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