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JEE Main202226 Jul 2022Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio of their respective momenta will be

Options

  1. A1 : 1
  2. B2 : 1
  3. C1 : 4
  4. D4 : 1

Correct answer

B. 2 : 1

Step-by-step solution

Given: The mass of the objects m 1 = 8   kg and   m 2 = 2   kg . Let the momentum of the 8   kg and 2   kg masses is p 1 and p 2 , respectively, then according to question, their kinetic energy are equal, i.e., K 1 = K 2 p 1 2 2 m 1 = p 2 2 2 m 2 p 1 p 2 = m 1 m 2 = 4 1 = 2 1

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