Punjab Medical Punjab - MET Solved Paper-2003

  • question_answer
    The energy in \[MeV\] is released due to transformation of \[1\,\,kg\] mass completely into energy\[(c=3\times {{10}^{8}}m/s)\]:

    A) \[7.625\times 10\,\,MeV\]         

    B) \[10.5\times {{10}^{29}}\,\,MeV\]

    C) \[2.8\times {{10}^{-28}}\,\,MeV\]           

    D) \[5.625\times {{10}^{29}}\,\,MeV\]

    Correct Answer: D

    Solution :

    According to Einsteins mass energy equivalence                 \[E=m{{c}^{2}}=1\times {{(3\times {{10}^{8}})}^{2}}\]                     \[=9\times {{10}^{16}}\,\,\text{J}\]                    \[=\frac{9\times {{10}^{16}}}{1.6\times {{10}^{-13}}}MeV\] (since\[1\,\,MeV=1.6\times {{10}^{-13}}J\])                 \[=5.625\times {{10}^{29}}MeV\]


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