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BITSAT2023PhysicsCenter of Mass, Momentum and CollisionActual

Two bodies are having kinetic energies in the ratio 16: 9 . If they have same linear momentum, the ratio of their masses respectively is:

Options

  1. A4 : 3
  2. B3 : 4
  3. C16 : 9
  4. D9 : 16

Correct answer

D. 9 : 16

Step-by-step solution

aligned & K.E. = p ^2 2 ~m & K ₁ ~K ₂ = p ₁^2 2 ~m ₁ 2 ~m ₂ p ₂^2 = m ₂ ~m ₁ = 16 9 & m ₁ ~m ₂ = 9 16 aligned

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