A stationary particle breaks into two parts of masses $m_A$ and $m_B$ which move with velocities $v_A$ and $V_B$ respectively. The ratio of their kinetic energies $\left(\mathrm{K}_B: \mathrm{K}_{\mathrm{A}}\right)$ is :

  • [JEE MAIN 2024]
  • A

    $v_B: v_A$

  • B

    $m_B: m_A$

  • C

    $m_B v_B: m_A v_A$

  • D

     $1: 1$

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  • [AIIMS 2014]