JCECE Engineering JCECE Engineering 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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