Question

The relationship between $\lambda$ and half-life $\left(T_{1/2}\right)$ of a radioactive substance is

• A. $\lambda =\frac{lo{g}_{10}2}{T_{1/2}}$
• B. $\lambda =\frac{lo{g}_{e}2}{T_{1/2}}$
• C. $\lambda =\frac{lo{g}_{2}10}{T_{1/2}}$
• D. $\lambda =\frac{lo{g}_{2}e}{T_{1/2}}$

Answer 1

The correct option is B $\lambda =\frac{lo{g}_{e}2}{T_{1/2}}$

Relation between half-life $\left(T_{1/2}\right)$ of a radioactive substancce and its decay constant $\lambda$ is
$\lambda =\frac{lo{g}_{e}2}{T_{1/2}}$