Atomic StructureHard

Question

In H-atom, the wave number ratio is 108: 7 is for

Options

A.first Lyman and first Balmer transition.
B.first Lyman and first Brackett transition.
C.first Lyman and first Paschen transition.
D.first Lyman and second Balmer transition.

Solution

$\frac{\lambda_{2}}{\lambda_{1}} = \frac{\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right)_{1}}{\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right)_{2}} = \frac{\left( \frac{1}{1^{2}} - \frac{1}{2^{2}} \right)}{\left( \frac{1}{3^{2}} - \frac{1}{4^{2}} \right)} = \frac{108}{7}$

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