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UPSC Combined Geo-Scientist

Chemist

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

Mains Paper II covers physical chemistry.

UPSC Combined Geo-Scientist, Mains · 2026 · Mains Paper II

Q1(o). The incorrect statement on electronic spectra

  • 5 marks
  • Topic: Molecular spectroscopy
  • Answered
Question

Identify the INCORRECT statement and correct it briefly: (i) Electronic transitions occur much faster than vibrational motion. (ii) Franck–Condon principle explains the intensity distribution of vibrational structure of electronic spectra. (iii) Fluorescence always originates from the lowest vibrational level of the excited singlet state. (iv) Phosphorescence involves a spin-forbidden transition.

Answer in brief

(iii) is incorrect. Fluorescence generally comes from the lowest vibrational level of S₁ (Kasha's rule), after vibrational relaxation, but not always: azulene fluoresces from S₂ and in a low-pressure gas emission can come from higher levels.

Key points

  • (i) Correct: electronic transition 10⁻¹⁵ s, nuclear vibration 10⁻¹³ s (the Born–Oppenheimer / Franck–Condon basis: vertical transitions).
  • (ii) Correct: the intensity is proportional to the Franck–Condon factor | v'|v”|².
  • (iii) Incorrect because of “always”. Corrected form: Fluorescence usually originates from v=0 of S₁ (Kasha's rule), since vibrational relaxation (10⁻¹² s) is faster than emission (10⁻⁹ s).
  • (iv) Correct: T₁→ S₀ changes the spin multiplicity (Δ S≠0).

The full model answer

Worked out step by step, as it should go in the answer booklet. The solution sheet follows it.

  • (i) Correct: electronic transition 10⁻¹⁵ s, nuclear vibration 10⁻¹³ s (the Born–Oppenheimer / Franck–Condon basis: vertical transitions).
  • (ii) Correct: the intensity is proportional to the Franck–Condon factor | v'|v”|².
  • (iii) Incorrect because of “always”. Corrected form: Fluorescence usually originates from v=0 of S₁ (Kasha's rule), since vibrational relaxation (10⁻¹² s) is faster than emission (10⁻⁹ s).
  • (iv) Correct: T₁→ S₀ changes the spin multiplicity (Δ S≠0).
Model answer to Q1(o), 2026 Mains Paper II: solution page 11
Solution page 11 of 22

Coverselectronic spectraThe incorrect statement on electronic spectra