AIPMT MAINS2011Physics-Nuclear Physics
AIPMT MAINS 2011 Physics Radioactive Decay MCQ Question
Type: MCQ-numerical-Hard
Two radioactive nuclei P and Q in a given sample decay into a stable nucleus R. At time t = 0, number of P species are 4N₀ and that of Q are N₀. Half-life of P (for conversion to R) is 1 minute whereas that of Q is 2 minutes. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal the number of nuclei of R present in the sample would be :
A
5N₀/2
B
2N₀
C
3N₀
D
9N₀/2
Correct Answer
Option D
Detailed Explanation
Using the decay law and equating the number of P and Q, we find the number of R nuclei to be 9N₀/2.
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