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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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

G1 Physics · Accepted Answer

Step 1: For simultaneous production and decay, dN/dt = R−λN. Step 2: At steady state, N = R/λ = Rτ. Step 3: For a non-steady case use N(t)=N at steady state+[N(0)−N at steady state]exp(−λt). Final: C: 24 × 105.