ABC26PH1161 · Options

Subject: Physical Chemistry · Chapter: Options · Topic: Options – General · Exam: NET 2020-2021 · Marks: 2 · Difficulty: Medium

The expectation value of $\mathrm{p}^{2}$ of a particle in a cubic box of side $l$, having the wave function $\Psi_{\mathrm{n}_{\mathrm{x}}, \mathrm{n}_{\mathrm{y}}, \mathrm{n}_{\mathrm{z}}}(\mathrm{x}, \mathrm{y}, \mathrm{z})=\left(\frac{2}{l}\right)^{\frac{3}{2}} \sin \frac{2 \pi \mathrm{x}}{l} \sin \frac{2 \pi \mathrm{y}}{l} \sin \frac{2 \pi \mathrm{z}}{l}$
(a)$\frac{17 \mathrm{h}^{2}}{4 \mathrm{l}^{2}}$
(b)$\frac{7 \mathrm{h}^{2}}{4 \mathrm{l}^{2}}$
(c)$\frac{3 \mathrm{h}^{2}}{4 \mathrm{l}^{2}}$
(d)$\frac{13 \mathrm{h}^{2}}{4 \mathrm{l}^{2}}$
Answer
Answer (as printed): A
Explanation
No explanation was printed for this question.

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