The activity of a radioactive sample is measured as N0

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The activity of a radioactive sample is measured as N₀ counts per minute at t = 0 and N₀ /e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is

N = N₀.e^{- λt}
Here, t = 5 minutes

	N₀	= N₀.e^{- 5λ}
	e

⇒ 5λ = 1,

λ =	1
	5

Now, T_1/2 =	ln2	= 5 ln2
	λ