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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 · 2016 · Mains Paper II

Q8(i). Harmonic-oscillator levels

Question

For a homonuclear diatomic oscillator, Eₙ=(n+1/2)hν, ν=(2π)⁻¹√(k/μ) and μ=m/2. Sketch the first four energy levels in units of hν.

Answer in brief

The levels are 1/2, 3/2, 5/2 and 7/2 times hν.

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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.

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CoversHarmonic-oscillator levelsVibrational spectroscopy

All parts of Question 8