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A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that for the second is 100 s. The effective half life of the nucleus is close to :

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Correct option is B

If a radioactive sample undergoes two processes simultaneously then dNdt=−λ1N−λ2N=−λ1+λ2N=−λeffNGiven half life of the processes 10=ln2λ1,100=ln2λ2Effective process half life = ln2λeff=ln2λ1+λ2=1110+1100=10011≈9s

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