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The number of sperical nodes in 4s orbi...

The number of sperical nodes in `4s` orbital is

A

4

B

`oo`

C

2

D

3

Text Solution

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The correct Answer is:
To determine the number of spherical (or radial) nodes in the 4s orbital, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Principal Quantum Number (n)**: - The given orbital is 4s. Here, the principal quantum number \( n \) is 4. 2. **Identify the Azimuthal Quantum Number (l)**: - The 's' in 4s indicates that this is an s orbital. For s orbitals, the azimuthal quantum number \( l \) is 0. 3. **Use the Formula for Radial Nodes**: - The formula to calculate the number of radial nodes is: \[ \text{Number of radial nodes} = n - l - 1 \] 4. **Substitute the Values into the Formula**: - Now, substitute \( n = 4 \) and \( l = 0 \) into the formula: \[ \text{Number of radial nodes} = 4 - 0 - 1 \] 5. **Calculate the Result**: - Performing the calculation: \[ \text{Number of radial nodes} = 4 - 0 - 1 = 3 \] 6. **Conclusion**: - Therefore, the number of spherical nodes in the 4s orbital is **3**.

To determine the number of spherical (or radial) nodes in the 4s orbital, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Principal Quantum Number (n)**: - The given orbital is 4s. Here, the principal quantum number \( n \) is 4. 2. **Identify the Azimuthal Quantum Number (l)**: ...
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