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JEE Main 2005 (AIEEE) · Power

Power question from JEE Main 2005 (AIEEE)

Q47JEE Main 2005 · AIEEEEasy

Power

A body of mass $m$ is accelerated uniformly from rest to a speed $v$ in a time $T.$ The instantaneous power delivered to the body as a function of time is given by

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Answer: (b)

Uniform acceleration $a = \dfrac{v}{T}$ , so force $F = \dfrac{mv}{T}$ .
Speed at time $t$ : $v(t) = \dfrac{v}{T}t$ .
$P = F\,v(t) = \dfrac{mv^2}{T^2}\,t$
So the answer is (b).

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