NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

  • question_answer
    The power obtained in a reactor using \[{{U}^{235}}\] disintegration is 1000 kW. The mass decay of \[{{U}^{235}}\] per hour is                                                                                                                                                   [AIPMT (S) 2011]

    A)  \[20\mu g\]       

    B)      \[40\mu g\]

    C)  \[1\,\mu g\]                  

    D)       \[10\,\mu g\]

    Correct Answer: B

    Solution :

    Let assume power \[P=1000\text{ }W\]
    Energy per hour \[=1000\times 3600\text{ }J\]
    Energy per fission \[=200\text{ }MeV\]
       \[=200\times 1.6\times {{10}^{-13}}J\]
    \[\therefore \] Number of fission per hour
       \[n=\frac{1000\times 3600}{200\times 1.6\times {{10}^{-13}}}\]
    Number of mole per hour \[=\frac{n}{N}\times 235\]
    \[\therefore \]      Mass per hour \[=\frac{n}{N}\times 235\]
    \[=\frac{1000\times 3600\times 235}{200\times 1.6\times {{10}^{-13}}\times 6.02\times {{10}^{23}}}\]
    \[=43.9\times {{10}^{-6}}g\]
    This \[43.9\times {{10}^{-6}}g\] is nearest value of 40 micron so option [b] is correct.


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