Two radiactive nuclie P and Q in a given sample decay into stable nucleus R. At time t = 0,number of

Question

Two radiactive nuclie P and Q in a given sample decay into stable nucleus R. At time t = 0,number of P species are 4N0 and that of Q are N0. Half life of P (for conservation to R)is 1 minute where as thatof Q is 2 minute. Initially there are no nuclie of R present in thesample. When number of nuclie of P and Q are equal, the number of nuclie of R present inthe sample would be

Accepted Answer

Let after t min the number of nuclei of P and Q are equal
∴ N_p = 4N₀

and N_Q = N₀

As N_P = N_Q
∴ 4N₀

= N₀

or 4 = 2^t/2 or 2² = 2^t/2
or

= 2    or t = 4 min
After 4 minutes, both P and Q have equal number of nuclei
∴     number of nuclei of R

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