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Manipal Medical Manipal Medical Solved Paper-2011

  • question_answer
    Two bodies of masses m and 2 m have same momentum. Their respective kinetic energies\[{{K}_{1}}\]and\[{{K}_{2}}\]are in the ratio

    A)  \[1:2\]

    B)  \[2:1\]

    C)  \[1:\sqrt{2}\]

    D)  \[1:4\]

    Correct Answer: B

    Solution :

     \[{{p}^{2}}=2mK\] \[K=\frac{{{p}^{2}}}{2m}\] As given momentum p is same for both bodies \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}=\frac{2m}{m}\] \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{2}{1}\]


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