JEE Main 2023PhysicsWork Power EnergyHardNumerical

JEE Main 2023 — Work Power Energy Question with Solution

JEE Main 2023 (30 Jan Shift 2)

Question

A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is 13α2P m. The value of α will be ______.

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Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

Energy provided will be used to increase kinetic energy of the body. Therefore,

12mV2=Pt

V=2Ptm

⇒dxdt=2Ptm⇒∫0xdx=2Pm∫04t12dt

⇒x=2Pm23t3204

⇒x=16P3=13×16P

Hence, required value of α=4.

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About this question

This is a previous-year question from JEE Main 2023, covering the Work Power Energy chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.