Let , , and represent the velocity, time period of revolution, and frequency of revolution of an ele — Atomic Structure Chemistry Question

💡 Solution & Explanation

By Bohr's postulates, $v \propto \frac{Z}{n}$ and $r \propto \frac{n^2}{Z}$. Time period $T_n = \frac{2\pi r_n}{v_n} \propto \frac{n^2/Z}{Z/n} = \frac{n^3}{Z^2}$. Frequency $V_n = \frac{1}{T_n} \propto \frac{Z^2}{n^3}$. The electrostatic force $F \propto \frac{Z}{r^2} \propto \frac{Z}{(n^2/Z)^2} \propto \frac{Z^3}{n^4}$, making option D incorrect.