(a)
The possible values of
(a)
Answer to Problem 22P
The possible values of
Explanation of Solution
Write the expression for orbital
Here,
Since, the hydrogen is in
Conclusion:
Substitute
Therefore, possible values of
(b)
The possible values of
(b)
Answer to Problem 22P
The possible values of
Explanation of Solution
Write the expression for z-component of orbital angular momentum.
Here,
Since, the hydrogen is in
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, possible values of
(c)
The possible values of
(c)
Answer to Problem 22P
The possible values of
Explanation of Solution
Write the expression for
The possible values of
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, possible values of
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Chapter 29 Solutions
Principles of Physics: A Calculus-Based Text
- Write an expression for the total number of states with orbital angular momentum l.arrow_forwardWhat are the possible values of m for an electron in the n = 4 state?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
- For a hydrogen atom in the 6f state, what is the minimum angle between the orbital angular momentum vector and the z axis?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_forwardConsider 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.arrow_forward
- For 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_forwardCalculate the possible z components of the orbital angular momentum for an electron in a 3p state.arrow_forwardDetermine the integral | P(r) dr for the radial probability density for the ground state of the hydrogen atom 4 P(r) = - r²e-2rla a³ O 1 O-1 O 0.5arrow_forward
- For a hydrogen atom in an excited state with principal quantum number n, what is the smallest angle that the orbital angular momentum vector can make with respect to the z-axis.arrow_forwardZirconium (Z = 40) has two electrons in an incomplete d subshell. (a) What are the values of n and ℓ for each electron? n = ℓ = (b) What are all possible values of m and ms? m = − to + ms = ± (c) What is the electron configuration in the ground state of zirconium? (Use the first space for entering the shorthand element of the filled inner shells, then use the remaining for the outer-shell electrons. Ex: for Manganese you would enter [Ar]3d54s2)arrow_forwardRelative to the z axis, how many possible directions are there in space for the orbital angular momentum vector that represents an electron in a 2 p state (n = 2, = 1)? Select one: a. 5 b. 3arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning