ABC26PH0272 · Atomic Structure
Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium
The first excited state wavefunction for a particle in a box that spans from -a to +a is
(a)$\sqrt{\frac{1}{\mathrm{a}}} \cos \left(\frac{\pi \mathrm{x}}{\mathrm{a}}\right)$
(b)$\sqrt{\frac{1}{\mathrm{a}}} \sin \left(\frac{\pi \mathrm{x}}{\mathrm{a}}\right)$
(c)$\sqrt{\frac{2}{\mathrm{a}}} \cos \left(\frac{2 \pi \mathrm{x}}{\mathrm{a}}\right)$
(d)$\sqrt{\frac{2}{a}} \sin \left(\frac{2 \pi \mathrm{x}}{\mathrm{a}}\right)$
Answer
Explanation
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