3. Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction is (2a.)3/2 /3a. * 2ao , where a, is the Bohr radius. (a) z-axis? What possible angles might the angular momentum vector L make with the (b) found? What is the most probable radius (in terms of ao) at which the electron is (c) What is the expectation value of r in this state? Note: ° x°e¯"dx = 120.
3. Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction is (2a.)3/2 /3a. * 2ao , where a, is the Bohr radius. (a) z-axis? What possible angles might the angular momentum vector L make with the (b) found? What is the most probable radius (in terms of ao) at which the electron is (c) What is the expectation value of r in this state? Note: ° x°e¯"dx = 120.
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Transcribed Image Text:3.
Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction
is
(2a.)3/2 /3a.
2ao , where a, is the Bohr radius.
(a)
2-axis?
What possible angles might the angular momentum vector L make with the
(b)
What is the most probable radius (in terms of a,) at which the electron is
found?
(c)
What is the expectation value of r in this state? Note: xe-"dx = 120.
(p)
S° x*e-dx = 23.91.
What is the probability of finding such an electron between a, and oo? Note:
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