CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2009

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

    A)  25 kWh                               

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


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