Modern Physics

Radioactive Decay Law

N(t)=N0eλtN(t) = N_0 e^{-\lambda t}

The number of radioactive nuclei decreases exponentially with time.

Variables

N(t)
Number of nuclei at time t
unitless
N_0
Initial number of nuclei
unitless
\lambda
Decay constant
s⁻¹
t
Time
s

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Common questions

What is the Radioactive Decay Law formula?

Radioactive Decay Law is written N(t) = N₀ e⁻λt. The number of radioactive nuclei decreases exponentially with time. It belongs to Modern Physics, under Nuclear Physics.

What are the units in N(t) = N₀ e⁻λt?

In SI units, N(t) is number of nuclei at time t (dimensionless); N_0 is initial number of nuclei (dimensionless); \lambda is decay constant, measured in s⁻¹; t is time, measured in s.