1. Recall the formulas for calculating the number of nodes:
Number of radial nodes = n - l - 1
Number of angular nodes = l
Total number of nodes = n - 1
where:
n is the principal quantum number
l is the azimuthal quantum number
2. Determine the quantum numbers for a 3p orbital:
For a 3p orbital:
n = 3
l = 1 (since p orbital corresponds to l = 1)
3. Calculate the number of radial and angular nodes:
Number of angular nodes = l = 1
Number of radial nodes = n - l - 1 = 3 - 1 - 1 = 1
The number of angular and radial nodes in a 3p orbital are 1 and 1 respectively.
Final Answer:
(B) 1, 1
The number of angular nodes (l) is equal to the value of the azimuthal quantum number (l), and the number of radial nodes is given by the formula:
Number of radial nodes = n - l - 1
For a 3p orbital, n = 3 (principal quantum number) and l = 1 (for p orbitals).
Thus, the number of angular nodes is:
Angular nodes = l = 1
The number of radial nodes is:
Radial nodes = n - l - 1 = 3 - 1 - 1 = 1
The correct answer is (B) : 1, 1.