JCECE Medical JCECE Medical Solved Paper-2002

  • question_answer
    If a proton totally converts into energy, the value of energy will be:

    A)  190 MeV     

    B)  931 MeV

    C)  93.1 MeV     

    D)  931 J

    Correct Answer: B

    Solution :

     Key Idea: Mass of 1 proton = 1 amu \[=1.66\times {{10}^{-27}}kg\] \[\therefore \]energy equivalent to \[1\,amu=m{{c}^{2}}\] where\[m=\]mass of proton \[=1.66\times {{10}^{-27}}kg\] \[c=\]velocity of light\[=2.98\times {{10}^{8}}\,m{{s}^{-1}}\] \[\therefore \] \[E=1.66\times {{10}^{-27}}\times {{(2.98\times {{10}^{8}})}^{2}}\] \[=1.4925\times {{10}^{-10}}J\] \[=931.65\,MeV\]\[(\because \,1eV=1.602\times {{10}^{-19}}J)\] \[\approx \,931\,MeV\]


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