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

Options

A. 6
B. 5
C. 4
D. 3

Answer

To determine the total number of nodes present in the 5p energy level, we can follow these steps:

### Step 1: Understand the Definitions
Nodes are regions in an atom where the probability of finding an electron is zero. There are two types of nodes:
- **Angular nodes**: Related to the shape of the orbital, determined by the azimuthal quantum number (L).
- **Radial nodes**: Related to the size of the orbital, determined by the principal quantum number (n) and the azimuthal quantum number (L).

### Step 2: Identify the Quantum Numbers
For the 5p orbital:
- The principal quantum number (n) is 5.
- The azimuthal quantum number (L) for a p orbital is 1.

### Step 3: Calculate the Number of Nodes
The total number of nodes can be calculated using the following formulas:
1. **Angular nodes (L)**: This is equal to the azimuthal quantum number (L).
2. **Radial nodes**: This can be calculated using the formula:
\[ \text{Radial nodes} = n - l - 1 \]
where \( l \) is the azimuthal quantum number.

### Step 4: Apply the Formulas
1. **Calculate Angular Nodes**:
\[ \text{Angular nodes} = L = 1 \]

2. **Calculate Radial Nodes**:
\[ \text{Radial nodes} = n - l - 1 = 5 - 1 - 1 = 3 \]

### Step 5: Total Number of Nodes
Now, we can find the total number of nodes by adding the angular and radial nodes:
\[ \text{Total nodes} = \text{Angular nodes} + \text{Radial nodes} = 1 + 3 = 4 \]

### Conclusion
The total number of nodes present in the 5p energy level is **4**.

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