CET Karnataka Medical CET - Karnataka Medical Solved Paper-2009

  • question_answer
    The amount of energy released when one microgram of matter is annihilated is

    A)  \[25kWh~\]

    B)  \[9\times {{10}^{10}}kWh\]

    C)  \[3\times {{10}^{10}}kWh~~~~\]

    D)  \[0.5\times {{10}^{5}}kWh\]

    Correct Answer: A

    Solution :

    According to Einsteins mass energy equivalence relation \[E=m{{c}^{2}}\] \[={{10}^{-6}}\times {{10}^{-3}}\times {{(3\times {{10}^{8}})}^{2}}J\] \[=9\times {{10}^{7}}J\] \[=\frac{9\times {{10}^{7}}}{3.6\times {{10}^{6}}}kWh\] (\[\because 1kWh=3.6\times {{10}^{6}}J\])\[=25kWh\]


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