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The decay constant, for a given radioact...

The decay constant, for a given radioactive sample is `(0.3465)/(day)`. What percentage of this sample will get decayed in a period of 4 years?

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Here `lambda = 0.3465/day, t = 4 years`
`T_(1/2) = (0.6931)/(lambda) = (0.6931)/(0.3465) = 2 days`
`n = (t)/(T_(1/2)) = (4)/(2) = 2`
Hence sample left undecayed after a period of 4 years,
`(N)/(N_(0)) = ((1)/(2))^(n) = ((1)/(2))^(2) = 1/4 = 25 %`
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