Question

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

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#### We have decay equation as follows Remaining nuclei , N=N0e−λt ..................(1)We know that for t=half−life 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 t1/2=loge2λMean life is nothing but time(T) for which N=N0/eso using it in equation-1 we get T=1λOption 2 is correct.

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