Zeke Says That the Magnitude of the Orbital Angular Momentum

question 14

Multiple Choice

Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L = . Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector is . Which one, if either, is correct, and why?

• A) Ruth, because the maximum value of L is .
• B) Ruth, because the orbital angular momentum always lines up with a magnetic field so that has its maximum value along the field.
• C) Zeke, because the maximum magnitude of is L = .
• D) Zeke, because the orbital angular momentum always lines up with a magnetic field so that has its maximum value along the field.
• E) Neither, because they have interchanged the maximum magnitude of , , and , its maximum projection along a magnetic field direction.

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