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JEE Main 2024 (5 Apr, Shift 2) · Power

Power question from JEE Main 2024 (5 Apr, Shift 2)

Q13JEE Main 2024 · 5 APR · SHIFT 2Easy

Power

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to:

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Answer: (b)

Constant power: $mv\dfrac{dv}{dt} = P \Rightarrow v^2 = \dfrac{2P}{m}t$ , so $v \propto t^{1/2}$ .
$s = \int v\,dt \propto t^{3/2}$
So the answer is (b) $t^{3/2}$ .

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