Five Electrons Are in a Two-Dimensional Square Potential Energy Well

question 22

Multiple Choice

Five electrons are in a two-dimensional square potential energy well with sides of length L. The potential energy is infinite at the sides and zero inside. The single-particle energies are given by where n_x and n_y are integers. In units of (h²/8mL²) the energy of the ground state of the system is

• A) 0
• B) 10
• C) 19
• D) 24
• E) 48

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Definitions:

Beta Wave

A type of brainwave pattern associated with active, alert cognition and wakefulness.

Alpha Wave

Brain waves detected by an electroencephalogram that indicate a state of relaxation or calmness, typically present when a person is awake but relaxed.

Theta Wave

A type of brainwave pattern associated with sleep, deep relaxation, and some stages of meditation, usually in the frequency range of 4-8 Hz.

Delta Wave

The slowest type of brain wave, characteristic of deep sleep and indicative of restorative, unconscious processing.