Three Dimensional Potential Well: a Three-Dimensional Potential Well Has Potential

Three dimensional potential well: A three-dimensional potential well has potential U₀ = 0 in the region 0 < x < L, 0 < y < L, and 0 < z < 2L and infinite potential otherwise. The ground state energy of a particle in the well is E₀. What is the energy of the first excited state, and what is the degeneracy of that state?

A) 2E₀, single degeneracy
B) (4/3) E₀, single degeneracy
C) 2E₀, double degeneracy
D) (7/3) E₀, double degeneracy
E) 3E₀, triple degeneracy

Correct Answer:

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