Question

Compute the length of the angular momentum vectors that represent the orbital motion of an electron in a quantum state with l = 1 and in another state with l = 2. Solution Equation 7.5 gives the relationship between the length of the vector and the angular momentum quantum number l. For l = 1, |L?| = ?(1+1)? = ?2? and for l = 2, |L?| = ?2(2+1)? = ?6?

          Compute the length of the angular momentum vectors that represent the orbital motion of an electron in a quantum state with l = 1 and in another state with l = 2.

Solution
Equation 7.5 gives the relationship between the length of the vector and the angular momentum quantum number l.

For l = 1,
|L?| = ?(1+1)? = ?2?

and for l = 2,
|L?| = ?2(2+1)? = ?6?

Show more…

Compute the length of the angular momentum vectors that represent the orbital motion of an electron in a quantum state with l = 1 and in another state with l = 2.

Solution
Equation 7.5 gives the relationship between the length of the vector and the angular momentum quantum number l.

For l = 1,
|L?| = ?(1+1)? = ?2?

and for l = 2,
|L?| = ?2(2+1)? = ?6?

Added by Jonathan G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

12/23/2022

Step 1

We are asked to compute the length of the angular momentum vectors (denoted as \(|L|\)) for an electron in a quantum state with principal quantum number \(n\) and magnetic quantum number \(m\), specifically for the case when \(n=2\). The formula to be used is Show more…

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Compute the length of the angular momentum vectors that represent the orbital motion of an electron in quantum state with l = 1 and in another state with l = 2. Solution Equation 7.5 gives the relationship between the length of the vector and the angular momentum quantum number l.

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