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Consider the effective potential we considered when studying the radial wave-function of the hydrogen atom: V eff (r) = r A + r 2 B

Consider the effective potential we considered when studying the radial wave-function of the hydrogen atom: Veff(r) =rA+r2Bl(l+1) where A and B are real, positive coefficients. (a) At what value of r does the potential vanish? (b) At what value of r is the potential minimized? What is the value of the minimum potential? (c) Plot the effective potential as a function of r for l = 1.

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