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JEE Main202427 Jan 2024Morning ShiftPhysicsWork, Power and EnergyActual

Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is :

Options

  1. A3 : 5
  2. B5 : 4
  3. C2 : 5
  4. D4 : 5

Correct answer

C. 2 : 5

Step-by-step solution

The kinetic energy K of an object is given by K = 1 2 m v 2 = p 2 2 m . . . 1 Following equation (1), for the two given bodies, it can be written that p 1 2 2 m 1 = p 2 2 2 m 2 ⇒ p 1 p 2 = m 1 m 2 = 4 25 = 2 5

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