J & K CET Medical J & K - CET Medical Solved Paper-2010

  • question_answer
    The energy that is associated with one gram of mass is

    A) \[9\times {{10}^{-13}}J\]                              

    B)  \[9\times {{10}^{-16}}J\]

    C) \[9\times 1013\text{ }J\]                             

    D)  \[9\times {{10}^{16}}J\]

    Correct Answer: C

    Solution :

                     If\[m=1\text{ }amu,\text{ }c=3\times {{10}^{8}}m/s\text{ }then\] \[E=931\text{ }MeV\] 1 amu\[=1.6\times {{10}^{-27}}kg\] \[1.6\times {{10}^{-27}}kg\] is equal to 931 MeV. \[\therefore \]1 kg is equal to\[\frac{931}{1.6\times {{10}^{-27}}}\]MeV \[\therefore \]1 g is equal to\[\frac{931\times {{10}^{-3}}}{1.6\times {{10}^{-27}}}\]MeV \[=5.81\times {{10}^{26}}MeV\] \[5.81\times {{10}^{26}}MeV=5.81\times {{10}^{26}}\times 1.6\times {{10}^{-13}}J\] \[=9.2\times {{10}^{13}}J\]


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