NEET Class neet Answered
15mg of radioactive sample 90% disintergrate in 4years,99.9% disintegration will be in?
Asked by adnsk2000 | 26 Apr, 2019, 07:01: PM
Expert Answer
Equation for Radioactive decay N = N0 e-λt ..................(1)
where N is the number of non-decayed atoms present at time t, N0 is number of atoms present when t = 0 and λ decay constant.
if 90% of substance is disintegrated in 4 years, then we have from eqn.(1) ln(0.1) = -λ 4 ......................(2)
if 99.9 % of substance is disintegrated in t years, then we have from eqn.(1) ln(0.001) = -λ t ......................(3)
by dividing eqn.(3) with eqn.(2), we get t = ( 4×ln(0.001) )/ln(0.1) = 12 years
Answered by Thiyagarajan K | 27 Apr, 2019, 11:18: AM
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