# Radioactive Decay Formula

Radioactive decay is the process whereby a radionuclide is transformed into a nuclide of another element as a result of the emission of radiation from its nucleus. Common terms used in descriptions of radioactive decay processes are parent nuclide and daughter nuclide.

A parent nuclide is the nuclide that undergoes decay in a radioactive decay process whereas, a daughter nuclide is the nuclide that a radioactive decay process produces.

**Radioactive Decay Formula** is expressed by

$N=N_o e^{-\lambda T}$

The alternate formula for **Radioactive Decay Formula** is

$A=A_o e^{-\lambda T}$

The differential equation for **Radioactive Decay Formula** is mathematically expressed as

$\frac{dN}{dt}=-\lambda N$

The half-life t_{1/2} of an isotope is the time taken for the nuclei of that isotope to decay to half of its original number.

$t_{1/2}=\frac{ln 2}{\lambda}$

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