JIPMER Jipmer Medical Solved Paper-2002

  • question_answer
    A proton and a-particle are having same kinetic energy. Find the ratio of their linear momentum is:

    A)  \[\sqrt{2}:2\]                                   

    B)  1 : 4                      

    C)  1 : 2                      

    D)         2 : 1

    Correct Answer: C

    Solution :

    Linear momentum \[p=\sqrt{2m{{E}_{k}}}\] or            \[p\propto \sqrt{m}\]    (As K.E. = constant) Hence   \[\frac{{{p}_{p}}}{{{p}_{\alpha }}}=\sqrt{\frac{{{m}_{p}}}{{{m}_{\alpha }}}}=\sqrt{\frac{1}{4}}=\frac{1}{2}\] so           \[{{p}_{p}}:{{p}_{\alpha }}=1:2\]


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