A) No nucleus will decay before t = 4 days
B) No nucleus will decay before t = 8 days
C) All nuclei will decay before t = 16 days
D) A given nucleus may decay at any time after t = 0
Correct Answer: D
Solution :
Number of nuclei decreases exponentially \[N={{N}_{0}}{{e}^{-\lambda t}}\] and Rate of decay \[\left( -\frac{dN}{dt} \right)=\lambda N\] Therefore, decay process losts up to t = ¥. Therefore, a given nucleus may decay at any time after t = 0.
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