Electrons Are in a Two-Dimensional Square Potential Energy Well with Sides

question 3

Multiple Choice

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. The number of single-particle states with energy 5(h²/8mL²) is:

• A) 1
• B) 2
• C) 3
• D) 4
• E) 5

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Definitions:

Leverage

The use of borrowed funds or other financial instruments to increase the potential return of an investment.

Potential Return

The expected gain or loss from an investment, taking into consideration both the risk and the expected rate of return.

Shareholders

Shareholders are individuals or entities that own shares of stock in a corporation, giving them partial ownership and possibly rights to dividends and a say in company matters.

SEC Registration

The process of filing documents required by the Securities and Exchange Commission prior to offering stock for sale to the public.