Paper: CSIR-NET December 2012 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Marks: 2 · Difficulty: Medium
The difference in energy levels of $\mathrm{n}=2$ and $\mathrm{n}=1$ of a particle $-\mathrm{in}-$ a one dimensional box is 6 units of energy. In the same units, what is the difference in energy levels of $\mathrm{n}=3$ and $\mathrm{n}=2$ for the above system?
(a)4
(b)5
(c)9
(d)10
Answer
Answer: D ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
E_n ∝ n²: (4 − 1) ↔ 6 units ⇒ 1 unit per n² step is 2; (9 − 4) × 2 = 10.