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

question 22

Multiple Choice

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 < L 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) 2E₀, triple degeneracy
• C) 3E₀, single degeneracy
• D) 6E₀, single degeneracy
• E) 6E₀, triple degeneracy

---

Definitions:

Functional Residual Capacity

The volume of air remaining in the lungs after a normal, passive exhalation.

Expiratory Reserve Volume

The maximum volume of air that can be forcibly exhaled after the end of a normal exhalation.

Residual Volume

Residual Volume is the amount of air remaining in the lungs after a maximal exhalation, ensuring that gas exchange can continue even between breaths.

Inspiratory Reserve Volume

The volume of air in addition to the tidal volume that can be inhaled at maximum effort.