Suppose that in any Bohr atom or ion, orbits are only in even numbers like 2, 4, 6, .... The maximum — Atomic Structure Chemistry Question
Question
Suppose that in any Bohr atom or ion, orbits are only in even numbers like 2, 4, 6, .... The maximum wavelength of radiation emitted in the visible region of H-spectrum should be
💡 Solution & Explanation
Visible region corresponds to the Balmer series, which ends at $n=2$. To emit maximum wavelength, the transition must be from the nearest permitted higher energy level. Since only even numbers are allowed, the transition is from $n=4$ to $n=2$. $\frac{1}{\lambda} = R\left(\frac{1}{2^2} - \frac{1}{4^2}\right) = R\left(\frac{1}{4} - \frac{1}{16}\right) = \frac{3R}{16}$. Thus, $\lambda = \frac{16}{3R}$. Therefore, correct answer is D.