Q 12-13-074JEE MainJEE Main 2023 (11 Apr, Shift 1)Easy
Two radioactive elements $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_A$ and $\lambda_B$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
Answer: (C) $\lambda_A=\lambda_B\ln2$
$\dfrac{\ln2}{\lambda_A}=\dfrac1{\lambda_B}\Rightarrow\lambda_A=\lambda_B\ln2$.
Solution by Sreeraj P, M.Sc Physics