What is the value of the orbital angular momentum quantum number 1 for the 3d atomic orbital? 3 -1 2 -2 1

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**Question:**

What is the value of the orbital angular momentum quantum number \( l \) for the 3d atomic orbital?

- ( ) 3
- ( ) -1
- ( ) 2
- ( ) -2
- ( ) 1

**Explanation:**

The orbital angular momentum quantum number \( l \) corresponds to the subshell of an atomic orbital. For the 3d orbital, the value of \( l \) is 2, as it corresponds to the d subshell.
Transcribed Image Text:**Question:** What is the value of the orbital angular momentum quantum number \( l \) for the 3d atomic orbital? - ( ) 3 - ( ) -1 - ( ) 2 - ( ) -2 - ( ) 1 **Explanation:** The orbital angular momentum quantum number \( l \) corresponds to the subshell of an atomic orbital. For the 3d orbital, the value of \( l \) is 2, as it corresponds to the d subshell.
**Quantum Mechanics: Orbital Angular Momentum**

**Question:**
What values of the orbital angular momentum quantum number \( l \) are allowed in the \( n = 3 \) shell?

**Options:**

1. \( l = 1, 2, 3 \)

2. \( l = 0, 1, 2, 3 \)

3. \( l = -3, -2, -1, 0, 1, 2, 3 \)

4. \( l = 0, 1, 2 \)

5. \( l = -2, -1, 0, 1, 2 \)

**Explanation:**

In quantum mechanics, the orbital angular momentum quantum number \( l \) can take values from 0 to \( n-1 \), where \( n \) is the principal quantum number. For the \( n = 3 \) shell, the possible values for \( l \) are 0, 1, and 2. Therefore, the correct answer is option 4: \( l = 0, 1, 2 \).
Transcribed Image Text:**Quantum Mechanics: Orbital Angular Momentum** **Question:** What values of the orbital angular momentum quantum number \( l \) are allowed in the \( n = 3 \) shell? **Options:** 1. \( l = 1, 2, 3 \) 2. \( l = 0, 1, 2, 3 \) 3. \( l = -3, -2, -1, 0, 1, 2, 3 \) 4. \( l = 0, 1, 2 \) 5. \( l = -2, -1, 0, 1, 2 \) **Explanation:** In quantum mechanics, the orbital angular momentum quantum number \( l \) can take values from 0 to \( n-1 \), where \( n \) is the principal quantum number. For the \( n = 3 \) shell, the possible values for \( l \) are 0, 1, and 2. Therefore, the correct answer is option 4: \( l = 0, 1, 2 \).
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