An electron is in a three-dimensional box. The x- and z-sides of the box have th

Question

An electron is in a three-dimensional box. The x- and z-sides of the box have the same length, but the y-side has a different length. The two lowest energy levels are 2.16 eV and 3.37 eV, and the degeneracy of each of these levels (including the degeneracy due to the electron spin) is two. What are the n_X, n_Y, and n_Z quantum numbers for the first level? n_X = 1, n_Y = 1, n_Z = 2 n_X =1, n_Y = 1, n_Z =1 n_X = 1, n_Y = 2, n_Z = 1 n_X = 2, n_Y = 1, n_Z = 1 Part B What are the n_X, nY, and n_Z quantum numbers for the second level? n_X = 1, n_Y = 1, n_Z = 1 n_X =2, n_Y = 1, n_Z =1 n_X = 1, n_Y = 2, n_Z = 1 n_X = 1, n_Y = 1, n_Z = 2 Part C What is the length L_Y for side of the box? Express your answer with the appropriate units.

Explanation / Answer

The pincipal quantum numbers for the ground state are n(x) = n(y) = n(z) = 1.

The second level will be 3 fold degenerate and any of the last 3 options can be correct.

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