Question

Column-I and Column-II are given below. Match the correct list:

• A. P-(iv), Q-(iii), R-(ii), S-(i)
• B. P-(iii), Q-(i), R-(ii), S-(ii)
• C. P-(i), Q-(ii), R-(iii), S-(i)
• D. P-(ii), Q-(i), R-(iv), S-(iii)

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question asks to match atomic orbitals with their respective numbers of radial and angular nodes.
Step 2: Key Formula or Approach:
1. Number of Angular Nodes = \(l\) (Azimuthal quantum number).
2. Number of Radial Nodes = \(n - l - 1\).
(For s, \(l=0\); p, \(l=1\); d, \(l=2\)).
Step 3: Detailed Explanation:
- For (P) 2s: \(n=2, l=0\).
Radial nodes = \(2 - 0 - 1 = 1\). Angular nodes = \(0\). (Matches iii)
- For (Q) 3s: \(n=3, l=0\).
Radial nodes = \(3 - 0 - 1 = 2\). Angular nodes = \(0\). (Matches iv)
- For (R) 4p: \(n=4, l=1\).
Radial nodes = \(4 - 1 - 1 = 2\). Angular nodes = \(1\). (Matches i)
- For (S) 3d: \(n=3, l=2\).
Radial nodes = \(3 - 2 - 1 = 0\). Angular nodes = \(2\). (Matches ii)
The correct matching sequence is P-(iii), Q-(iv), R-(i), S-(ii).
Step 4: Final Answer:
The correct option is (2).