A radioactive sample is decayed 20% in one day. After next two days, the undecayed percentage of nuclei will be?
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Answer:
Explanation:
=> Here, A radioactive sample is decayed 20% in one day, that means N = nuclei left = 80 %
=> Now, N = N₀ e^-λt
80/100 = e^-λ
-ln(8/10) = λ
=> decayed percentage of nuclei in next two days:
N = N₀ e^-λt
N = N₀ e^ln(8/10) * 2
= N₀ e^2ln(8/10)
= N₀ e^ln(8/10)^2
=N₀ * 64/100
= 64 %
=> Hence, undecayed percentage of nuclei :
100 - 64% = 36 %
=> Thus, after next two days the undecayed percentage of nuclei will be 36%.
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