1.The energy equation for a particle in a cubic box of dimensions Lx = Ly = Lz is

 \( E_{n_x, n_y, n_z} = \frac{h^2}{8mL^2} [n_x^2 + n_y^2 + n_z^2] \)

For a particle in a cubic box, how many degenerate energy levels have energy equal to 14 h2 /8 mL2 ?
(A) 1
(B) 12
(C) 6
(D) 8
(E) 3

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