A radioactive sample disintegrates via two independent decay process having half lives $$T121$$ and $$T122$$ respectively. The effective $$half-life$$ $$T12$$, of the nuclei is:

Correct option is 3T12=T121T122T121+T122

Questions

A radioactive sample disintegrates via two independent decay process having half lives $T_{\frac{1}{2}}^{(1)}$ and $T_{\frac{1}{2}}^{(2)}$ respectively. The effective half-life $T_{\frac{1}{2}}$ , of the nuclei is:

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T12=T121+T122

T12=T121+T122T121−T122

T12=T121T122T121+T122

None of the above

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detailed solution

Correct option is C

λ=λ1+λ2 ⇒ln2 T12=ln2T121+ln2T122 ⇒ T12=T121T122T121+T122

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