ABC26PH0278 · Atomic Structure

Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

Consider a particle of mass m moving in a one-dimensional box under the potential $\mathrm{V}=0$ for $0 \leq \mathrm{x} \leq \mathrm{a}$ and $\mathrm{V}=\infty$ outside the box. When the particle is in its lowest energy state the average momentum (< $\mathrm{p}_{\mathrm{x}}>$ of the particle is
(a)$\left\langle\mathrm{p}_{\mathrm{x}}\right\rangle=0$
(b)$\left\langle\mathrm{p}_{\mathrm{x}}\right\rangle=\frac{\mathrm{h}}{\mathrm{a}}$
(c)$\left\langle\mathrm{p}_{\mathrm{x}}\right\rangle=\frac{\mathrm{h}}{2 \mathrm{a}}$
(d)$\left\langle\mathrm{p}_{\mathrm{x}}\right\rangle=\frac{\mathrm{h}}{2 \pi \mathrm{a}}$
Answer
Answer (as printed): A
Explanation
No explanation was printed for this question.

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