Radial nodes present in 2s and 2p - orbitals are respectively

Options

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

Answer

To determine the number of radial nodes present in the 2s and 2p orbitals, we can use the formula for calculating the number of radial nodes in an orbital, which is given by:

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

Where:
- **n** = principal quantum number
- **l** = azimuthal quantum number (angular momentum quantum number)

### Step 1: Calculate the number of radial nodes in the 2s orbital
1. Identify the values of n and l for the 2s orbital:
- For the 2s orbital, n = 2 and l = 0 (since s orbitals have l = 0).

2. Substitute the values into the formula:
- Number of radial nodes in 2s = n - l - 1
- Number of radial nodes in 2s = 2 - 0 - 1
- Number of radial nodes in 2s = 1

### Step 2: Calculate the number of radial nodes in the 2p orbital
1. Identify the values of n and l for the 2p orbital:
- For the 2p orbital, n = 2 and l = 1 (since p orbitals have l = 1).

2. Substitute the values into the formula:
- Number of radial nodes in 2p = n - l - 1
- Number of radial nodes in 2p = 2 - 1 - 1
- Number of radial nodes in 2p = 0

### Final Result
- The number of radial nodes in the 2s orbital is 1.
- The number of radial nodes in the 2p orbital is 0.

Thus, the answer is:
- Radial nodes present in 2s and 2p orbitals are respectively **1 and 0**.