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

  • Option 1)

    10 microgram

  • Option 2)

    20 microgram

  • Option 3)

    40 microgram

  • Option 4)

    1 microgram

 

Answers (1)

As we learnt in 

energy mass equivalence -

Delta E=Delta m.c^{2}       

- wherein

Delta m = mass defect

Delta E = energy released

 

 

 \\ E=\Delta mc^{2} \\ \\ \Delta m= \frac{10^{6}W}{9\times 10^{16}} \: = \: \frac{1}{9}\times 10^{-10} \: kg/ sec

         \frac{1}{9} \times 3600 \times 10^{-10} \: kg/ hr \: \: = 400\times 10^{-7} \: g/hr

                                                          =40 \: microgram/hr


Option 1)

10 microgram

Incorrect

Option 2)

20 microgram

Incorrect

Option 3)

40 microgram

Correct

Option 4)

1 microgram

Incorrect

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