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A basic model of a hydrogen atom is a finite potential well with rectangular edges. A more realstic model of a hydrogen atom, although still a 1-Dimensional model, would be the electron + proton potential enrgy in one dimension:
U(x) = -e^2/(4pi epsilon_0)|x|)
a) Draw a graph of U(x) versus x. Center your graph at x = 0.
b) Despite the divergence at x= 0, the Schrodinger Equation can be solved to find energy levels and wave functions for the electron in this potention. Draw a horizontal line across your graph of part a) about one-third the way from the bottom to the top. Label this line E2, the on this line, sketch a plausible graph of the n = 2 wave function.
c) Redraw your graph of part a) and add a horizontal line about two-thirds the way from the bottom to the top. Label this line E_3, then, on this line, sketch a plausible graph of the n = 3 wave function.
A 250 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 3.5 N/cm, What is the speed of the block just before it hits the spring
At what temperature would the rms speeds be equal to the escape speed from planet earth.
Objective questions based on force and acceleration.
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