The wave numbers of three spectral lines of $H$ atom are considered. Identify the set of spectral lines belonging to Balmer series.
( $R =$ Rydberg constant)

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The wave numbers of three spectral lines of $H$ atom are considered. Identify the set of spectral lines belonging to Balmer series.( $R =$ Rydberg constant)

Accepted Answer

Balmer series line $\Rightarrow \bar{v} = R_{H}z^{2}\left\lbrack \frac{1}{2^{2}} - \frac{1}{n^{2}} \right\rbrack$

if $n = 3 \Rightarrow \overline{v} = R(1)^{2}\left\lbrack \frac{1}{2^{2}} - \frac{1}{3^{2}} \right\rbrack = \frac{5R}{36}$

if $n = 4 \Rightarrow \bar{v} = \frac{3R}{16}$

if $n = 5 \Rightarrow \bar{v} = \frac{21R}{100}$

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