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JEE Main 202120 JulyEvening Shift
Exam
JEE Main
Year
2021
Date
20 July
Shift
Evening Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2021 · 20 July · Evening Shift · Physics · Work, Power and Energy

If the kinetic energy of a moving body becomes four times its...

If the kinetic energy of a moving body becomes four times its initial kinetic energy, then the percentage change in its momentum will be:

Options

  1. A100100 %
  2. B200200 %
  3. C300300 %
  4. D400400 %

Correct answer

A. 100100 %

Step-by-step solution

K2=4K1{K}_{2} = 4{K}_{1}

12mv22=4×12mv12\dfrac{1}{2}m{v}_{2}^{2} = 4 \times \dfrac{1}{2}m{v}_{1}^{2}

v2=2v1{v}_{2} = 2{v}_{1}

P=mvP = mv

P2=mv2=2mv1{P}_{2} = m{v}_{2} = 2m{v}_{1}

P1=mv1{P}_{1} = m{v}_{1}

% change =\DeltaPP1×100=2mv1−mv1mv1×100=100= \dfrac{\DeltaP}{{P}_{1}} \times 100 = \dfrac{2m{v}_{1} - m{v}_{1}}{m{v}_{1}} \times 100 = 100 %

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