An Electron Is Bound in an Infinite Square-Well Potential (A

Multiple Choice

An electron is bound in an infinite square-well potential (a box) on the x-axis. The width of the well is L and the well extends from x = 0.00 nm to x = 3.8 nm. In its present state, the normalized wave function of the electron is given by: ψ(x) = sin (2πx/L) . What is the energy of the electron in this state? (h = 6.626 × 10^-34 J ∙ s, mel = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19)

A) 0.10 eV
B) 0.052 eV
C) 0.13 eV
D) 0.078 eV
E) 0.026 eV