In a certain nuclear reactor, a radioactive nucleus is being produced at a constant rate \( =100...

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In a certain nuclear reactor, a radioactive nucleus is being produced at a constant rate \( =1000 / \mathrm{s} \). The mean life of the radionuclide is 40 minutes. At steady state, the number of radionuclide will be
(A) \( 4 \times 10^{4} \)
(B) \( 24 \times 10^{4} \)
(C) \( 24 \times 10^{5} \)
(D) \( 24 \times 10^{6} \)
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