A sample of radioactive material A , that has an activity of 10 mCi ( 1 Ci = 3.7 × 1 0 10 decays/s), has twice the number of nuclei as another sample of a different radioactive material B which has an

Question

A sample of radioactive material A , that has an activity of 10 mCi ( 1 Ci = 3.7 × 1 0 10 decays/s), has twice the number of nuclei as another sample of a different radioactive material B which has an activity of 20 mCi . The correct choices for half-lives of A and B would then be respectively :

TestHub · Accepted Answer

Activity A = λ N For A 10 = ( 2 N 0 ​ ) λ A ​ For B 20 = N 0 ​ λ B ​ ∴ λ B ​ = 4 λ A ​ ⇒ ( T 1/2 ​ ) A ​ = 4 ( T 1/2 ​ ) B ​

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