Atomic StructuremediumMCQ SINGLE

Suppose that in any Bohr atom or ion, orbits are only in even numbers like 2, 4, 6, .... The maximumAtomic 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

Answer: D

💡 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.

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