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JEE PHYSICS MCQ: NUCLEI

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A sample of radioactive material decays simultaneously by two processes AA and BB with half-lives 12\frac{1}{2} and 14\frac{1}{4} hours respectively. For first half-hour, it decays with process A,A, next one hour with process BB and for a further half an hour with both AA and B.B. If originally there were N0{N}_0 nuclei, find the number of nuclei after 2 hours of such decay
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Correct option: A
N0(2)8\frac{N_0}{(2)^8}
Option A (N0(2)8\frac{N_0}{(2)^8}) is correct because it accounts for the decay during each time interval with the respective half-lives.

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