The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balme…
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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)
[JEE Main 2026, 28 Jan (Shift 1)]
✓ Correct answer: d)
\(\frac{5\text{R}}{36},\frac{3\text{R}}{16},\frac{21\text{R}}{100}\)
Explanation
Balmer series line \(\Rightarrow \overset{¯}{\nu }={R}_{H}{z}^{2}\left[\frac{1}{{2}^{2}}−\frac{1}{{n}^{2}}\right]\)
If n = 3 \(\Rightarrow \overset{¯}{\nu }=R{(1)}^{2}\left[\frac{1}{{2}^{2}}−\frac{1}{{3}^{2}}\right]=\frac{5R}{36}\)
If n = 4 \(\Rightarrow \overset{¯}{\nu }=\frac{3R}{16}\)
If n = 5 \(\Rightarrow \overset{¯}{\nu }=\frac{21R}{100}\)
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