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Total number of nodes present in 5p ener...

Total number of nodes present in 5p energy level is :

A

6

B

5

C

4

D

3

Text Solution

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The correct Answer is:
To find the total number of nodes present in the 5p energy level, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Principal Quantum Number (n)**: - For the 5p energy level, the principal quantum number \( n \) is 5. 2. **Identify the Azimuthal Quantum Number (l)**: - For a p orbital, the azimuthal quantum number \( l \) is 1. 3. **Calculate the Number of Angular Nodes**: - The number of angular nodes is given by the formula: \[ \text{Number of Angular Nodes} = l \] - Substituting the value of \( l \): \[ \text{Number of Angular Nodes} = 1 \] 4. **Calculate the Number of Radial Nodes**: - The number of radial nodes is given by the formula: \[ \text{Number of Radial Nodes} = n - l - 1 \] - Substituting the values of \( n \) and \( l \): \[ \text{Number of Radial Nodes} = 5 - 1 - 1 = 3 \] 5. **Calculate the Total Number of Nodes**: - The total number of nodes is the sum of angular nodes and radial nodes: \[ \text{Total Nodes} = \text{Number of Angular Nodes} + \text{Number of Radial Nodes} \] - Substituting the values: \[ \text{Total Nodes} = 1 + 3 = 4 \] ### Conclusion: The total number of nodes present in the 5p energy level is **4**. ---
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