JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    Assume that a neutron breaks into a proton and an electron. The energy released during this process is: (mass of neutron \[=1.6725\times {{10}^{-27}}kg,\] mass of proton \[=1.6725\times {{10}^{-27}}kg,\] mass of electron \[=9\times {{10}^{-31}}kg\]).

    A)  \[0.51\,\,MeV\]

    B)  \[7.10\,\,MeV\]

    C)  \[6.30\,\,MeV\]

    D)  \[5.4\,\,MeV\]

    Correct Answer: A

    Solution :

    [a] \[_{0}^{1}n\xrightarrow{{}}_{1}^{1}H{{+}_{-1}}{{e}^{0}}+\bar{v}+Q\] The mass defect during the process \[\Delta m={{m}_{n}}-{{m}_{H}}-{{m}_{e}}=1.6725\times {{10}^{-27}}\]             \[-(1.6725\times {{10}^{-27}}+9\times {{10}^{-31}}kg)\] \[=-9\times {{10}^{-31}}kg\] The energy released during the process \[E=\Delta m{{c}^{2}}\] \[E=9\times {{10}^{-31}}\times 9\times {{10}^{16}}=81\times {{10}^{-15}}\] Joules \[E=\frac{81\times {{10}^{-15}}}{1.6\times {{10}^{-19}}}=0.511\,\,MeV\]


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