The expectation value of p2 of a particle in a cubic box of side I, having the wave function _nx, ny, nz(x, y, z)= (2/l )3/2 (2 pi x)/l (2 pi y)/l (2 pi z)/l Options:

ABC26PH0179 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: CSIR-NET 2020 · Marks: 2 · Difficulty: Medium

The expectation value of $p^{2}$ of a particle in a cubic box of side $I$, having the wave function $\psi_{n_{x}, n_{y}, n_{z}}(x, y, z)=\left(\frac{2}{l}\right)^{\frac{3}{2}} \sin \frac{2 \pi x}{l} \sin \frac{2 \pi y}{l} \sin \frac{2 \pi z}{l}$ Options:

(a)$\frac{17 h^{2}}{4 l^{2}}$

(b)$\frac{7 h^{2}}{4 l^{2}}$

(c)$\frac{3 h^{2}}{4 l^{2}}$

(d)$\frac{13 h^{2}}{4 l^{2}}$

Answer

Answer (as printed): A

Explanation

No explanation was printed for this question.

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