JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    Imagine that a reactor converts all given mass into energy and that it operates at a power level of 109 watt. The mass of the fuel consumed per hour in the reactor will be : (velocity of light, c is \[3\times {{10}^{8}}m/s\])

    A)  \[0.96\text{ }gm\]

    B)  \[0.8\text{ }gm\,\]

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

    D)  \[6.6\times {{10}^{-5}}gm\]

    Correct Answer: C

    Solution :

    [c] Power level of reactor, \[P=\frac{E}{\Delta t}=\frac{\Delta m{{c}^{2}}}{\Delta t}\] mass of the fuel consumed per hour in the reactor, \[\frac{\Delta m}{\Delta t}=\frac{P}{{{c}^{2}}}=\frac{{{10}^{9}}}{{{(3\times {{10}^{8}})}^{2}}}kg/\sec =\frac{3600\times {{10}^{9}}}{9\times {{10}^{16}}}\] \[\times {{10}^{3}}\frac{gm}{hr}\]


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