According to Bohr's atomic theory, which of the following relations is/are correct? — Atomic Structure Chemistry Question

💡 Solution & Explanation

K.E. $\propto \frac{Z^2}{n^2}$. Speed $v \propto \frac{Z}{n}$, so $v \cdot n \propto Z$. Frequency $f \propto \frac{v}{r} \propto \frac{Z/n}{n^2/Z} = \frac{Z^2}{n^3}$. Force $\propto \frac{Z}{r^2} \propto \frac{Z}{(n^2/Z)^2} = \frac{Z^3}{n^4}$. Therefore, correct answer is A, C, D.