1. Tardigrade
  2. Question
  3. Physics
  4. The half life of radioactive sample undergoing a-decay is 1.4 × 1017 s . If the number of nuclei in the sample is 2.0× 1021 , the activity of the sample is nearly :

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Q. The half life of radioactive sample undergoing a-decay is $1.4 \times 10^{17}\, s$ . If the number of nuclei in the sample is $2.0\times 10^{21}$ , the activity of the sample is nearly :

NEETNEET 2020Nuclei

Solution:

$R=\lambda\,N$
$R=\frac{0.693}{T}\times N$
$R=\frac{0.693}{1.4\times 10^{17}} \times 2\times 10^{21}$
$R=10^{4}$