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Multiple choice
An electron in a 1D infinite square well of width L=1L = 1 nm is in an equal superposition of the n=1n=1 and n=2n=2 states, so E=(1/2)E1+(1/2)E2\langle E\rangle = (1/2)E_1 + (1/2)E_2 with En=n2π22/(2mL2)E_n = n^2 \pi^2 \hbar^2/(2 m L^2). Using =1.05457×1034\hbar=1.05457\times10^{-34} J·s, m=9.10938×1031m=9.10938\times10^{-31} kg, 11 eV=1.60218×1019=1.60218\times10^{-19} J, what is the expected energy E\langle E\rangle in eV?