**Q1. **(a) Show that (Ψ(x) = Ax^(-1) e^(-kx) ) is not a solution of the Schrodinger equation in x- direction

(b) Find the normalization constant of the wavefunction in terms of a and b for the region -L< x < L

(c) Find the average value of x in a potential well of length when -L/2 < L/2 if the wavefunction ψ(x) = Sin (nπx/L)

(d) Find the de Broglie wavelength of an electron with kinetic energy 20 MeV

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