Problem

An electron in a hydrogen atom is in the (n, ℓ, mℓ) = (2, 1,0) state, (a) Calculate the pr...

An electron in a hydrogen atom is in the (n, ℓ, m) = (2, 1,0) state, (a) Calculate the probability that it would be found within 60° of the z-axis, irrespective of radius. (Note: This means within 60° of either the +z- or - z-direction, solid angles totaling 2п steradians, or "half of space") (b) Calculate the probability that it would be found between r = 2a0 and r = 6a0, irrespective of angle, (c) What is the probability that it would be found within 60° of the z-axis and between r = 2a0 and r = 6a0?

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