Q84 · CSIR NET Chemistry, June 2012
Paper: CSIR NET June 2012 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Particle In A Box · Marks: 2 · Difficulty: Medium
A particle in three dimensional cubic box of length L has energy of $\frac{14 \mathrm{h}^{2}}{8 \mathrm{mL}^{2}}$. The degeneracy of the state is
(a)2
(b)3
(c)6
(d)9
Answer
Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
nx² + ny² + nz² = 14 = 1 + 4 + 9. The permutations of (1, 2, 3) give 6 states (c).
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