UPSC Combined Geo-Scientist, Mains · 2022 · Mains Paper III
Q1(f). X-rays from radioactive isotopes
Question
How are X-rays generated by certain radioactive isotopes?
Answer in brief
Mainly by electron (K) capture: the nucleus captures a K electron, an outer electron fills the vacancy and the daughter's characteristic X-ray is emitted (⁵⁵Fe gives Mn Kα, 5.9 keV).
Key points
- Electron capture: a proton-rich nucleus captures a K-shell electron (p + e⁻ → n + neutrino); Z falls by 1 and the daughter emits its characteristic X-ray.
- Example: ⁵⁵Fe (half-life 2.7 years) → ⁵⁵Mn, Mn Kα 5.9 keV; also ¹⁰⁹Cd → Ag K lines, ¹²⁵I → Te K.
- Internal conversion: an excited nucleus ejects an inner-shell electron; filling of the vacancy gives characteristic X-rays.
- γ-emission serves as a monochromatic X-ray (²⁴¹Am 59.5 keV; ⁵⁷Co 122 keV); β-particles striking a target give bremsstrahlung.
- Use: small, stable sources needing no power supply, for portable XRF and absorption gauges.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

Coverselectron captureradioisotope X-ray source⁵⁵Feinternal conversionportable XRF
All parts of Question 1
- 1(a) Accuracy and precision5 marks
- 1(b) Phases in GLC and choice of carrier gas5 marks
- 1(c) Matching techniques with sources and detectors5 marks
- 1(d) Cold-vapour atomisation for mercury5 marks
- 1(e) Components of a thermogravimetric analyser5 marks
- 1(f) X-rays from radioactive isotopes5 marks
- 1(g) Generation of the argon plasma in ICP–MS5 marks
- 1(h) Manganese in pyrolusite by redox back-titration5 marks