JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

  • question_answer
    A nucleus of mass 218 amu in free state decays to emit an a-particle. Kinetic energy of the a-particle emitted is 6.7 MeV. The recoil energy (in MeV) of the daughter nucleus is [EAMCET 2005]

    A)            1.0

    B)            0.5 

    C)            0.25                                          

    D)            0.125                                       

    Correct Answer: D

    Solution :

                       Using conservation of momentum \[{{P}_{daughter}}={{P}_{\alpha }}\]            Þ\[\frac{{{E}_{d}}}{{{E}_{\alpha }}}=\frac{{{m}_{\alpha }}}{{{m}_{d}}}\]Þ\[{{E}_{d}}=\frac{{{E}_{\alpha }}\times {{m}_{\alpha }}}{{{m}_{d}}}\]    \[=\frac{6.7\times 4}{214}=0.125\,MeV\]


You need to login to perform this action.
You will be redirected in 3 sec spinner