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Question: Answered & Verified by Expert
If the kinetic energy of a body changes by $20 \%$ then its momentum would change by -
PhysicsCenter of Mass Momentum and CollisionJEE Main
Options:
  • A $20 \%$
  • B $24 \%$
  • C $40 \%$
  • D None of the above
Solution:
2766 Upvotes Verified Answer
The correct answer is: None of the above
$\frac{\frac{p_f^2}{2 m}-\frac{p_i^2}{2 m}}{\frac{p_i^2}{2 m}} \times 100=20$
$\Rightarrow \frac{p_f}{p_i}=\sqrt{1.2}=1.095 \Rightarrow \frac{p_f-p_i}{p_i}=0.095$
Therefore $\%$ increase $=9.5 \%$

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