JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    A nucleus with mass number 220 initially at rest emits an \[\alpha -\]particle. If the Q value of the reaction is 5.5 MeV. Calculate the kinetic energy of \[\alpha -\]particle.

    A)  4.4 MeV                      

    B)  5.4 MeV

    C)  5.6 MeV          

    D)  6.5 MeV

    Correct Answer: B

    Solution :

    \[{{K}_{1}}+{{K}_{2}}\,=5.5\,MeV\]    ?(1) From conservation of linear momentum \[{{[2{{K}_{1}}(216m)]}^{1/2}}={{[2{{K}_{2}}\,(4m)]}^{1/2}}\] (As, \[P=\sqrt{2km}\] ) Or         \[{{K}_{2}}=54\,{{K}_{1}}\]    ?(2) From eqs. (1) and (2) \[{{K}_{2}}=5.4\,MeV\]


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