Questions

In a certain nuclear reactor, a radioactive nucleus is being produced at a constant rate =1000/s. The mean life of the radionuclide is 40 minutes. At steady state the number of radionuclide will be

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a

4×104

b

24×104

c

24×105

d

24×106

detailed solution

Correct option is C

at steady state. Rate of disintegration is equal to rate of production.1000=Nλλ=1Tmean1000=N40×60N=40×60×103=24×105

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The half life period of a radioactive element X is same as the mean life time of another radioactive element Y. Initially both of them have the same number of atoms. Then

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