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

Question 27

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 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<sub>x</sub> and n<sub>y</sub> 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(h<sup>2</sup>/8mL<sup>2</sup>) B) 5(h<sup>2</sup>/8mL<sup>2</sup>) C) 10(h<sup>2</sup>/8mL<sup>2</sup>) D) 13(h<sup>2</sup>/8mL<sup>2</sup>) E) 18(h<sup>2</sup>/8mL<sup>2</sup>) where nx and ny 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)

Correct Answer:

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