please-who-can-prove-the-half-life-in-radioactivity-formula-of-t-1-2-ln2-where-is-distergration-rate-Involving-ln-N-0-N-t-t-

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Question Number 63137 by Rio Michael last updated on 29/Jun/19

please who can prove the half−life in radioactivity formula of t_(1/2) = ((ln2)/λ) where λ is distergration rate. Involving ln(N_0 /N_t )= λt

$${please}\:{who}\:{can}\:{prove}\:{the}\:{half}−{life}\:{in}\:{radioactivity}\:{formula} \\ $$$${of}\:\:{t}_{\frac{\mathrm{1}}{\mathrm{2}}} =\:\frac{{ln}\mathrm{2}}{\lambda}\:\:{where}\:\lambda\:{is}\:{distergration}\:{rate}.\:{Involving}\: \\ $$$${ln}\frac{{N}_{\mathrm{0}} }{{N}_{{t}} }=\:\lambda{t} \\ $$

Answered by Hope last updated on 29/Jun/19