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Bohr's Model of a Hydrogen Atom

A certain lin...

Question

A certain line of the Lyman series of hydrogen and a certain line of the Balmer series of ${H e}^{+}$ ion have nearly the same wavelength. To what transition do they belong? Small differences between their Rydberg constant may be neglected.

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Solution

Hydrogen Helium
$2 \to 1$ $4 \to 2$
$3 \to 1$ $6 \to 2$
$4 \to 1$ $8 \to 2$

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