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

question 55

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:

Confidence Interval

A band of values, derived from the statistical examination of samples, presumed to include the value of an unascertained population parameter.

T-Distribution

A probability distribution used in statistics that is applicable when the sample size is small and the population variance is unknown.

William S. Gosset

A statistician best known for developing the t-test under the pseudonym "Student," contributing significantly to the field of small-sample statistics.

Cholesterol

A waxy substance found in the blood and cells, necessary for the body but high levels of which can be harmful.