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BITSAT Physics Center of Mass Momentum and Collision 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Physics Question (2023) — Solution

Question

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. A. 4 : 3
  2. B. 3 : 4
  3. C. 16 : 9
  4. D. 9 : 16

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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