Question 65

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)

Balmer series: $$\bar{\nu} = R\left(\frac{1}{4} - \frac{1}{n^2}\right)$$ for n = 3, 4, 5, ...

n=3: $$R(1/4-1/9) = 5R/36$$ ✓

n=4: $$R(1/4-1/16) = 3R/16$$ ✓

n=5: $$R(1/4-1/25) = 21R/100$$ ✓

All three match Option 1.

The answer is Option 1: $$5R/36, 3R/16, 21R/100$$.

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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)