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

question 41

Multiple Choice

Six 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. If a seventh electron is added to the system when it is in its ground state the least energy the additional electron can have is:

• A) 2(h²/8mL²)
• B) 5(h²/8mL²)
• C) 10(h²/8mL²)
• D) 13(h²/8mL²)
• E) 18(h²/8mL²)

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Definitions:

Perceptual Constancy

The brain's ability to perceive objects as unchanging despite changes in sensory input, such as changes in illumination, angle of viewing, or distance.

Proximal Stimuli

The stimuli that interact with sensory receptors, directly influencing perception.

Distal Stimuli

Objects or events in the external world that provide information to the sensory organs, leading to perception.

Neural Synchrony

The simultaneous firing of neurons in different parts of the brain, which is believed to be crucial for various cognitive functions, including attention and perception.