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JEE Main 2003 (AIEEE) · Power

Power question from JEE Main 2003 (AIEEE)

Q49JEE Main 2003 · AIEEEEasy

Power

A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ’t’\text{'}t\text{'} is proportional to

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Answer: (b)

  1. Constant power: mvdvdt=P⇒v∝t1/2mv\dfrac{dv}{dt} = P \Rightarrow v \propto t^{1/2}.
  2. s=∫v dt∝t3/2s = \int v\,dt \propto t^{3/2}
  3. So the answer is (b) t3/2t^{3/2}.
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