The decay constant of a radioactive sample is λ. The respective values of its half life and meanlife are
i) 1λ and (loge2)
ii) loge2λ and 1λ

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We have decay equation as follows
Remaining nuclei , N=N0eλt ..................(1)
We know that for t=halflife we get remaining nuclei as half of initial nuclei(N0)
i.e N=N0/2 so using this with t=t1/2 in equation-1 we get

Mean life is nothing but time(T) for which N=N0/e
so using it in equation-1 we get T=1λ

Option 2 is correct.

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