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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 · 2020 · Mains Paper II

Q11(b). Mean position in a rectangular box

Question

Show that the average position of a particle in a three-dimensional box of lengths a,b,c is (a/2,b/2,c/2).

Answer in brief

For every stationary product eigenstate in a box from (0,0,0) to (a,b,c), the mean position is the centre.

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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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CoversMean position in a rectangular boxQuantum mechanics

All parts of Question 11