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

question 72

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)8 (h²/8mL²)
• D)10 (h²/8mL²)
• E)13 (h²/8mL²)

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