Using ζ as a variational parameter in the normalized function allows one to vary the size of
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allows one to vary the size of the orbital. Show this by calculating the probability of finding the electron inside a sphere of radius a0 for different values of ζ using the standard integral
a. Obtain an expression for the probability as a function of ζ.
b. Evaluate the probability for ζ = 1.5, 2.5, and 3.5.
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