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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(ii). Ground-state oscillator wavefunction

Question

The ground-state wavefunction is proportional to exp (-β x²), where x is displacement from equilibrium. Sketch it and determine the most probable and average values of x. The paper prints β=√(μ k)/ħ.

Answer in brief

Both the most probable displacement and ⟨ x⟩ are zero.

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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.

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CoversGround-state oscillator wavefunctionQuantum mechanics

All parts of Question 8