NEET 2023 — Physics solution

NEET2023Physics

In hydrogen spectrum, the shortest wavelength in the Balmer series is $λ$ . The shortest wavelength in the Bracket series is:

Solution

The shortest wavelength of a series corresponds to the transition from $n = \infty$ to the lower level.

Balmer (final $n = 2$ ): $\frac{1}{λ} = R (\frac{1}{4} - 0) = \frac{R}{4}$ .

Bracket (final $n = 4$ ): $\frac{1}{λ ^{'}} = R (\frac{1}{16} - 0) = \frac{R}{16}$ .

Dividing: $\frac{λ ^{'}}{λ} = 4 \Rightarrow λ^{'} = 4 λ$ .

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