Q132 / 180 · COMEDK 2013 · Physics

Two bodies of masses $1 \mathrm{~kg}$ and $2 \mathrm{~kg}$ have equal momentum, then the ratio of their kinetic energies is

  • Correct answer
    A
    $2: 1$
  • B
    $3: 1$
  • C
    $1: 3$
  • D
    $1: 1$

Solution

Given, $m_{1}=1 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}$ The kinetic energy is related to momentum of body by the formula given as $$ K=\frac{p^{2}}{2 m} $$ $$ \frac{K_{1}}{K_{2}}=\frac{m_{2}}{m_{1}}=\frac{2}{1} \quad(\because \text { momentum is same) } $$ the formula given as ( $\because+$ momentum is same)

Hence, the correct answer is option: 'A'.

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