The magnitude of the orbital angular momentum ( L → ) for an atom that is in the state of n = 100 and l = 2 from the following: a) 2 ℏ b) 6 ℏ c) 200 ℏ d) 10 , 100 ℏ

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Answer 1

Question

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

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Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², L₂ = m₂h, 1 = 0,1,2,..., n-1 m₁ = 0, +1, +2, ..., ±l 3 1 S² = s(s+1)h²=h², S₂ = m₂h = + = h +/-ħ 4 Consider an excited electron (n > 1) on an H-atom. What is the minimum angle 0min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V

Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², Lz = m₁h, 1 = 0,1,2,..., n 1 - m₁ = 0, ±1, ±2, ..., ±l 3 S² = s(s+1) h² = =h²₁ 4 Consider an excited electron (n > 1) on an H-atom. The total angular momentum ] = L + Š, whose magnitude and z-component follow a similar dependence to some quantum numbers j and m; as J² = j(j + 1)ħ², Jz = mjħ 1 S₂ = m₂h = ± = h Where j and m; are quantum numbers which assume values that jumps in steps of one such that j is non-negative and −j ≤ m¡ ≤ j. For a given quantum number 1, what are the (two) possible values for j? Clue: we can use the vector sum relation of angular momenta, then consider the z-component only.

Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², 1 = 0,1,2,..., n-1 Lz = m₂ħ, m₁ = 0, ±1, ±2,..., ±l 3 S² = s(s+1)h² = h², 4 Consider an excited electron (n > 1) on an H-atom. Sz = msh 1 =+=ħ Show that the minimum angle that the I can have with the z-axis is given by n-1 n L.min = cos Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V

Answer 2

Question

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

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Answer 3

Question

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

Answer 6

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

Answer 7

Chapter 41, Problem 41.72PP

To determine

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 41.1 - Prob. 41.1TYU Ch. 41.2 - Prob. 41.2TYU Ch. 41.3 - Prob. 41.3TYU Ch. 41.4 - In this section we assumed that the magnetic field...Ch. 41.5 - In which of the following situations is the...Ch. 41.6 - Prob. 41.6TYU Ch. 41.7 - Prob. 41.7TYU Ch. 41.8 - Prob. 41.8TYU Ch. 41 - Prob. 41.1DQ Ch. 41 - Prob. 41.2DQ

The magnitude of the orbital angular momentum ( L → ) for an atom that is in the state of n = 100 and l = 2 from the following: a) 2 ℏ b) 6 ℏ c) 200 ℏ d) 10 , 100 ℏ

Solution Summary: The author explains how to determine the orbital angular momentum for an atom in the state of n=100 and l=2.

Concept explainers

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ

Want to see the full answer?

Chapter 41 Solutions

The magnitude of the orbital angular momentum ( L → ) for an atom that is in the state of n = 100 and l = 2 from the following: a) 2 ℏ b) 6 ℏ c) 200 ℏ d) 10 , 100 ℏ

Solution Summary: The author explains how to determine the orbital angular momentum for an atom in the state of n=100 and l=2.

Concept explainers

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following: a) 2ℏ b) 6ℏ c) 200ℏ d) 10,100ℏ

Want to see the full answer?

Chapter 41 Solutions

The magnitude of the orbital angular momentum (L→) for an atom that is in the state of n=100 and l=2 from the following:

a) 2ℏ

b) 6ℏ

c) 200ℏ

d) 10,100ℏ