Question

What is the half-life formula?

Answer 1

Part 1: Half-life:

• The time interval that is required for one-half of the atomic nuclei of a radioactive substance to disintegrate/decay is known as the half-life of the substance.

Part 2: Formula for half-life:

• The formula for half-life can be expressed as:
• ${\mathrm{t}}_{1/2}=\frac{\ln 2}{\mathrm{\lambda }}=\frac{2.303\times {\log }_{10}2}{\mathrm{\lambda }}=\frac{2.303\times 0.3010}{\mathrm{\lambda }}$
• ${\mathrm{t}}_{1/2}=\frac{0.693}{\mathrm{\lambda }}$
• Where ${\mathrm{t}}_{1/2}$ is the half-life of the substance and $\mathrm{\lambda }$ is the decay constant or disintegration constant.