VKC ScienceChemistry for written exams Telegram

UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper III covers analytical and organic chemistry.

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.

Model answer to Q1(f), 2022 Mains Paper III: solution pages 7 and 8
Solution pages 7 and 8 of 38

Coverselectron captureradioisotope X-ray source⁵⁵Feinternal conversionportable XRF