For a spherically symmetric state of a hydrogen atom, the Schrödinger equation in spherical coordinates is h2 ( d²s 2 dự + r dr - µ = E¼ 2m dr2 (a) Show that the 1s wave function for an electron in hydrogen, 1 1,(7) = satisfies the Schrödinger equation. (b) What is the energy of the atom for this state?

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