6.One electron is trapped in a one-dimensional square well potential with infinitely highsides. Assume that the well extends from x = 0 to x = L. The width of the well isL= 306.6pm.Find the energies (E,,E,,E,,E,) of the four lowest levels in electron volts (eV).а.b. Sketch the probability density functions for the two lowest energy states: P(x), P,(x).Draw an energy level diagram for the for the first four energy levels.C.d. What are the wavelengths, å,, 4, , of the two longest wavelength photons that could beabsorbed by an electron in the first excited state (the n=2 state) in this trap. Assume thatone-dimensional electron traps can absorb and emit photons.Indicate the transitions involved in part "d." on the energy level diagram.е.

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