The number of radial nodes in 4s and 3p orbitals are respectively

Options

A. 2,0
B. 3,1
C. 2,2
D. 3,2

Answer

To find the number of radial nodes in the 4s and 3p orbitals, we can use the formula for calculating the number of radial nodes:

**Formula:**
Number of radial nodes = n - l - 1

Where:
- n = principal quantum number
- l = azimuthal quantum number

**Step 1: Calculate the radial nodes for the 4s orbital.**
- For the 4s orbital:
- n = 4 (since it is the 4s orbital)
- l = 0 (for s orbitals, l = 0)

Using the formula:
Number of radial nodes = n - l - 1
= 4 - 0 - 1
= 3

**Step 2: Calculate the radial nodes for the 3p orbital.**
- For the 3p orbital:
- n = 3 (since it is the 3p orbital)
- l = 1 (for p orbitals, l = 1)

Using the formula:
Number of radial nodes = n - l - 1
= 3 - 1 - 1
= 1

**Final Answer:**
The number of radial nodes in the 4s and 3p orbitals are respectively 3 and 1.

---