Radial nodes present in 3s and 3p - orbitals are respectively

Options

A. 0,2
B. 2,1
C. 1,1
D. 2,2

Answer

To determine the number of radial nodes present in the 3s and 3p orbitals, we can use the formula for calculating radial nodes:

**Formula for Radial Nodes:**
\[ \text{Number of Radial Nodes} = n - l - 1 \]
where:
- \( n \) is the principal quantum number
- \( l \) is the azimuthal quantum number

**Step 1: Calculate Radial Nodes for 3s Orbital**
- For the 3s orbital:
- The principal quantum number \( n = 3 \)
- The azimuthal quantum number \( l \) for s orbital is \( 0 \)

Using the formula:
\[ \text{Radial Nodes for 3s} = n - l - 1 = 3 - 0 - 1 = 2 \]

**Step 2: Calculate Radial Nodes for 3p Orbital**
- For the 3p orbital:
- The principal quantum number \( n = 3 \)
- The azimuthal quantum number \( l \) for p orbital is \( 1 \)

Using the formula:
\[ \text{Radial Nodes for 3p} = n - l - 1 = 3 - 1 - 1 = 1 \]

**Conclusion:**
- The number of radial nodes in the 3s orbital is **2**.
- The number of radial nodes in the 3p orbital is **1**.

Thus, the radial nodes present in 3s and 3p orbitals are respectively **2 and 1**.

---