Chemistry Question from JEE Main 2025 · 24 January, Shift 2

Consider a complex reaction taking place in three steps with rate constants $k_1$, $k_2$, and $k_3$ respectively. The overall rate constant $k$ is given by the expression $k = \sqrt{\frac{k_1 k_3}{k_2}}$. If the activation energies of the three steps are $60 \, \text{kJ mol}^{-1}$, $30 \, \text{kJ mol}^{-1}$, and $10 \, \text{kJ mol}^{-1}$ respectively, then the overall energy of activation in $\text{kJ mol}^{-1}$ is _____(Nearest integer).