Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Particle In A Box · Exam: NET DEC 2011 · Marks: 2 · Difficulty: Medium
A particle is constrained in a one dimensional box of length 2 a with potential $\mathrm{V}(\mathrm{x})=\infty ; \mathrm{x}<-\mathrm{a}, \mathrm{x}>\mathrm{a}$ and $\mathrm{V}(\mathrm{x})=0 ;-\mathrm{a} \leq \mathrm{x} \leq \mathrm{a}$. Energy difference between levels $\mathrm{n}=3$ and $\mathrm{n}=2$ is
(a)$\frac{5 \mathrm{h}^{2}}{8 \mathrm{ma}^{2}}$
(b)$\frac{9 \mathrm{h}^{2}}{8 \mathrm{ma}^{2}}$
(c)$\frac{9 \mathrm{h}^{2}}{32 \mathrm{ma}^{2}}$
(d)$\frac{5 \mathrm{h}^{2}}{32 \mathrm{ma}^{2}}$
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.