ABC26PH0795 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

The potential for a particle in a one-dimensional box is given as: $\mathrm{V}(\mathrm{x})=0$ for $0 \leq \mathrm{x} \leq \mathrm{L}$, and $\mathrm{V}(\mathrm{x})=\infty$ elsewhere. The locations of the internal nodes of the eigenfunctions $\psi_{\mathrm{n}}(\mathrm{x}), \mathrm{n} \geq 2$, are [Given: m is an integer such that $0<\mathrm{m}<\mathrm{n}$ ]
(a)$\mathrm{x}=\frac{\mathrm{m}+\frac{1}{2}}{\mathrm{n}} \mathrm{L}$
(b)$\mathrm{x}=\frac{\mathrm{m}}{\mathrm{n}} \mathrm{L}$
(c)$\mathrm{x}=\frac{\mathrm{m}}{\mathrm{n}+1} \mathrm{L}$
(d)$\mathrm{x}=\frac{\mathrm{m}+1}{\mathrm{n}+1} \mathrm{L}$
Answer
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Explanation
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