Question:
At room temperature, gaseous hydrogen is bombarded with a beam of electrons of 13.6 eV energy. The series to which the emitted spectral line belongs to:
At room temperature, gaseous hydrogen is bombarded with a beam of electrons of 13.6 eV energy. The series to which the emitted spectral line belongs to:
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The Lyman series corresponds to electronic transitions where the final state is \( n = 1 \), producing ultraviolet radiation.
Updated On: Mar 3, 2026
- Lyman series
- Balmer series
- Paschen series
- Pfund series
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The Correct Option is A
Solution and Explanation
The energy of 13.6 eV corresponds to the ionization energy of hydrogen, meaning the electron is excited to the highest possible energy level and then de-excites.
The emitted spectral lines belong to the Lyman series when an electron transitions to the \( n=1 \) energy level:
\[
\Delta E = h \nu = 13.6 \left( 1 - \frac{1}{n^2} \right) \text{eV}
\]
Since all transitions end at \( n=1 \), the emitted radiation falls in the ultraviolet region, characteristic of the Lyman series.
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