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submit answer try another version 3 item attempts remaining how many radial nodes and how many angular nodes does each of the following orbitals have? orbital * radial nodes #angular nodes
Step1: Recall the formula for radial nodes
The formula for radial nodes is \( n - l - 1 \), where \( n \) is the principal quantum number and \( l \) is the azimuthal quantum number.
Step2: Recall the formula for angular nodes
The formula for angular nodes is \( l \).
Step3: Determine \( n \) and \( l \) for \( 5f \)
For \( 5f \), \( n = 5 \) and \( l = 3 \).
- Radial nodes: \( 5 - 3 - 1 = 1 \)
- Angular nodes: \( 3 \)
Step4: Determine \( n \) and \( l \) for \( 2s \)
For \( 2s \), \( n = 2 \) and \( l = 0 \).
- Radial nodes: \( 2 - 0 - 1 = 1 \)
- Angular nodes: \( 0 \)
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| orbital | # radial nodes | # angular nodes |
|---|---|---|
| \( 2s \) | \( 1 \) | \( 0 \) |
| \( 5f \) | \( 1 \) | \( 3 \) |