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JEE Main20246 Apr 2024Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be:

Options

  1. A6 %
  2. B600 %
  3. C60 %
  4. D500 %

Correct answer

D. 500 %

Step-by-step solution

Kinetic energy (K)= P^2 2 m P = 2 mK If K_f=36 K_i So, P _ f =6 P _ i aligned % increase in momentum & = P _ f - P _ i P _ i 100 % & = 6 P _ i - P _ i P _ i 100 % & =500 % aligned

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