Which transition in the spectrum will have the exact same wavelength as the transition in the hydrog — Atomic Structure Chemistry Question
Question
Which transition in the $He^+$ spectrum will have the exact same wavelength as the transition $n=2 \text{ to } n=1$ in the hydrogen atom spectrum?
Answer: B
💡 Solution & Explanation
For identical wavelengths, $Z^2(1/n_1^2 - 1/n_2^2)$ must be equal. For H ($Z=1$, $2\to1$): $1(1/1 - 1/4) = 3/4$. For $He^+$ ($Z=2$, $4\to2$): $4(1/4 - 1/16) = 4(3/16) = 3/4$.
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