JEE Main & Advanced JEE Main Paper (Held On 9 April 2017)

  • question_answer
    Imagine that a reactor converts all given mass into energy and that it operates at a power level of \[{{10}^{9}}\] watt. The mass of the fuel consumed per hour in the reactor will be: (velocity of light, c is \[3\times {{10}^{8}}\,m/s\]) [JEE Online 09-04-2017]

    A)  \[6.6\,\times {{10}^{-5}}\,gm\]

    B)  \[0.96\,gm\]

    C)  \[4\times {{10}^{-2}}\,gm\]                       

    D)  \[0.8\,gm\]

    Correct Answer: C

    Solution :

                                    \[P=\frac{E}{\Delta t}\,=\frac{\Delta m{{c}^{2}}}{\Delta t}\]                 \[\frac{\Delta m}{\Delta t}=\frac{P}{{{c}^{2}}}\,=\frac{{{10}^{9}}}{{{(3\times {{10}^{8}})}^{2}}}=4\times {{10}^{-2}}\,gm\]


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