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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

BITSAT 2023 · Paper 2 · Physics · Center of Mass, Momentum and Collision

Two bodies are having kinetic energies in the ratio 16: 9 . If they...

Two bodies are having kinetic energies in the ratio 16:916: 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

Correct answer

D.
9 : 16

Step-by-step solution

 K.E. =p22m∴K1K2=p122m1×2m2p22=m2m1=169∴m1m2=916\begin{aligned} & \text{ K.E. }=\frac{\mathrm{p}^2}{2 \mathrm{ m}} \\ & \therefore \frac{\mathrm{K}_1}{\mathrm{ K}_2}=\frac{\mathrm{p}_1^2}{2 \mathrm{ m}_1} \times \frac{2 \mathrm{ m}_2}{\mathrm{p}_2^2}=\frac{\mathrm{m}_2}{\mathrm{ m}_1}=\frac{16}{9} \\ & \therefore \frac{\mathrm{m}_1}{\mathrm{ m}_2}=\frac{9}{16}\end{aligned}
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