MGIMS WARDHA MGIMS WARDHA Solved Paper-2005

  • question_answer
    Two bodies of masses m and 2 m have equal kinetic energies. The ratio of their linear momenta is :

    A) \[1\]                                     

    B) \[\frac{1}{2}\]

    C) \[0.5\]                                  

    D) \[2\]

    Correct Answer: C

    Solution :

    Linear momentum \[p=\sqrt{2m{{E}_{k}}}\] Bodies have equal kinetic energy, so ratio of momentum \[\frac{{{p}_{1}}}{{{p}_{2}}}=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]                                 \[=\sqrt{\frac{m}{2m}}\]                                 \[=\sqrt{\frac{1}{2}}=\frac{1}{\sqrt{2}}\]


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