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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4×104

24×104

24×105

24×106

answer is C.

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Detailed Solution

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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