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The ground-state wave function of a hydrogen atom is Ψ = (1/xa3)1/2e-r1ao where ao = 53 pm (the Bohr radius).

(a) Calculate the probability that the electron will be found somewhere within a small sphere of radius 1.0 pm centered on the nucleus.

(b) Now suppose that the same sphere is located at r = av. What is the probability that the electron is inside it?

(a) Calculate the probability that the electron will be found somewhere within a small sphere of radius 1.0 pm centered on the nucleus.

(b) Now suppose that the same sphere is located at r = av. What is the probability that the electron is inside it?

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