ABC26PH0786 · Quantum Chemistry
Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium
$\left[\frac{-h^{2}}{\left(8 \pi^{2} m\right)} \frac{d}{d x^{2}}+\frac{h^{2} \alpha^{2} x^{2}}{\left(2 \pi^{2} m\right)}\right] \exp \left(-\alpha x^{2}\right)=C \frac{h^{2}}{\left(4 \pi^{2}\right)} \exp \left(-\alpha x^{2}\right)$, where $h, \pi, m$ and $\alpha$ are constants. Then $C$ is
(a)$2 \alpha / \mathrm{m}$
(b)$\alpha / 2 \mathrm{m}$
(c)$\alpha / \mathrm{m}$
(d)$\alpha^{2} / \mathrm{m}$
Answer
Explanation
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