If the kinetic energy of a moving body becomes four times its initial kinetic energy, then the percentage…

If the kinetic energy of a moving body becomes four times its initial kinetic energy, then the percentage change in its momentum will be:
  1. 100%
  2. 200%
  3. 300%
  4. 400%

Solution

K2=4 K1

12mv22=4×12mv12

v2=2v1

P=mv

P2=mv2=2mv1

P1=mv1

% change =ΔPP1×100=2mv1-mv1mv1×100=100%

Asked in: JEE Main 2021 (20 Jul Shift 2)

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