NEET AIPMT SOLVED PAPER SCREENING 2011

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

    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 W Energy per hour = 1000 x 3600 J Energy per fission = 200 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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