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Q.

The half life of a radioactive sample undergoing α – 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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a

103 Bq

b

104 Bq

c

105 Bq

d

106 Bq

answer is B.

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Detailed Solution

The activity (A) is defined as the rate of decay of radioactive substance.A=−dNdt=NλA=N×0.693T [T is half life ]A=2×1021×0.6931.4×1017A=104Bq
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The half life of a radioactive sample undergoing α – 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