Teaching JKPSC Lecturership Mock Test Series 2024-25 Chemical Sciences Basic Principles of Quantum Mechanics Particle-in-a-box
For a particle of mass m confined in a rectangular box with sides 2a and a, the energy and degeneracy of the first excited state, respectively, are
1
\(\frac{h^2}{8 m}\left(\frac{2}{a^2}\right), 1 \)
2
\(\frac{h^2}{8 m}\left(\frac{17}{4 a^2}\right), 2\)
3
\(\frac{h^2}{8 m}\left(\frac{5}{4 a^2}\right), 1 \)
4
\(\frac{h^2}{8 m}\left(\frac{5}{a^2}\right), 2 \)