Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 36, Problem 12E
To determine
The maximum value of angular momentum .
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For a hydrogen atom in the 6f state, what is the minimum angle between the orbital angular momentum vector and the z axis?
For the hydrogen atom in the 4d excited state find the
possible values of n,l,m,m,, and mj. Give the term
notation for each possible configuration.
Consider the n = 4 states of hydrogen. (a) What is the maximum magnitude L of the orbital angular momentum? (b) What is the maximum value of Lz? (c) What is the minimum angle between L S and the z-axis? Give your answers to parts (a) and (b) in terms of h.
Chapter 36 Solutions
Essential University Physics
Ch. 36.1 - Prob. 36.1GICh. 36.2 - Prob. 36.2GICh. 36.3 - Prob. 36.3GICh. 36.4 - Prob. 36.4GICh. 36.5 - Prob. 36.5GICh. 36 - Prob. 1FTDCh. 36 - Prob. 2FTDCh. 36 - Prob. 3FTDCh. 36 - Prob. 4FTDCh. 36 - Prob. 5FTD
Ch. 36 - Prob. 6FTDCh. 36 - Prob. 7FTDCh. 36 - Prob. 8FTDCh. 36 - Prob. 9FTDCh. 36 - What distinguishes a Bose-Einstein condensate from...Ch. 36 - Prob. 11ECh. 36 - Prob. 12ECh. 36 - Prob. 13ECh. 36 - Prob. 14ECh. 36 - Prob. 15ECh. 36 - Prob. 16ECh. 36 - Prob. 17ECh. 36 - Prob. 18ECh. 36 - Prob. 19ECh. 36 - Prob. 20ECh. 36 - Prob. 21ECh. 36 - Prob. 22ECh. 36 - Prob. 23ECh. 36 - Prob. 24ECh. 36 - Prob. 25ECh. 36 - Prob. 26ECh. 36 - Prob. 27ECh. 36 - Prob. 28ECh. 36 - Prob. 29ECh. 36 - Prob. 30ECh. 36 - Prob. 31ECh. 36 - Prob. 32ECh. 36 - Prob. 33ECh. 36 - Prob. 34ECh. 36 - Prob. 35ECh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Solar physicists measure the strong magnetic...Ch. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75PCh. 36 - Prob. 76PPCh. 36 - Prob. 77PPCh. 36 - Prob. 78PPCh. 36 - Prob. 79PP
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- For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forwardFor a hydrogen atom in an excited state with principal quantum number n, show that the smallest angle that the orbital angular momentum vector can make with respect to the z-axis is =cos1( n1n) .arrow_forwardFor hydrogen atoms in a d state, sketch the orbital angular momentum with respect to the z axis. Use units of U along the z axis and calculate the allowed angles of L with respect to the z axis.arrow_forward
- Calculate the possible z components of the orbital angular momentum for an electron in a 3p state.arrow_forward(a) What is the magnitude of the orbital angular momentum in a state with e = 2? (b) What is the magnitude of its largest projection on an imposed axis? (a) Number 2.50998008 Units J.s (b) Number 2.11 Units J.sarrow_forwardAn electron in a hydrogen atom is in a state with l=5 .What is the minimum possible value of the semiclassical angle between L and Lz?arrow_forward
- If an electron in the (3, 2, 0, 1/2) state, what is the value of its angular momentum?arrow_forwardAn electron is in an angular momentum state with 1 = 3. What is the length of the electron's angular momentum vector?arrow_forwardZirconium (Z = 40) has two electrons in an incomplete d subshell. (a) What are the values of n and ℓ, for each electron? (b) What are all possible values of mℓ, and ms ? (c) What is the electron configuration in the ground state of zirconium?arrow_forward
- A cubical box of widths Lx= Ly = Lz = L contains eight electrons.What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.arrow_forwardFind the expectation value of the radial position for the electron of the hydrogen atom in the 2s and 2p states.arrow_forwardCalculate the energy and angular momentum of a hydrogen atom in the 6f state. Write the angular momentum as a multiple of ℏ.arrow_forward
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