Concept: Ultraviolet radiation comprises high-energy photons. In the hydrogen atom, the highest energy emissions occur when an electron drops back down to the lowest possible energy state, the ground level.
Formula:$$ \Delta E_{\text{max}} = E_n - E_1 \quad (\text{Lyman series}) $$
Solution:- The Lyman series is defined by electronic transitions terminating at the principle quantum shell \( p = 1 \).
- These jumps (from \( n=2,3,4\dots \) down to \( p=1 \)) cross the largest energy gaps in the hydrogen atom.
- Because \( E = hf \), large energy drops emit high-frequency, high-energy photons, which correspond exactly to the Ultraviolet (UV) spectrum.
Why other options are incorrect:Balmer (B) falls in the visible range. Paschen (A) and Pfund (D) feature smaller energy transitions terminating at higher energy levels, placing them in the low-energy Infrared region.
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