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

question 34

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Five 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 Five 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.The energy of the first excited state of the system is: A) 13 (h<sup>2</sup>/8mL<sup>2</sup>)  B) 22 (h<sup>2</sup>/8mL<sup>2</sup>)  C) 24 (h<sup>2</sup>/8mL<sup>2</sup>)  D) 25 (h<sup>2</sup>/8mL<sup>2</sup>)  E) 27 (h<sup>2</sup>/8mL<sup>2</sup>) where nx and ny are integers.The energy of the first excited state of the system is:

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