Question

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

• A. \( \dfrac{5R}{36},\ \dfrac{8R}{9},\ \dfrac{15R}{16} \)
• B. \( \dfrac{7R}{144},\ \dfrac{3R}{16},\ \dfrac{16R}{255} \)
• C. \( \dfrac{3R}{4},\ \dfrac{3R}{16},\ \dfrac{7R}{144} \)
• D. \( \dfrac{5R}{36},\ \dfrac{3R}{16},\ \dfrac{21R}{100} \)

Hint:

For Balmer series, always factor out \(\dfrac{1}{4}\); if the remaining term is \(\dfrac{1}{n^2}\), it belongs to the series.

Answer 1

The Correct Option is D