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
Answer: D ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.