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After one average life, what will be the ratio of number of undecayed nuclei to the number of decayed nuclei of a radioactive sample? [Take e = 2.7]

a
7:9
b
12:19
c
10:17
d
11:17

detailed solution

Correct option is C

Mean life =tm=1λRequired ratio =N0e−λtmN01−e−λtm=e−11−e−1=1e−1=12.7−1=1017

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