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Match each atomic orbital of a hydrogen-like atom (List-I) with its number of radial nodes (a) and angular nodes (b) given as the pair (a, b) in List-II. List-I: (P) 2p (Q) 3d (R) 4p (S) 4d List-II: (1) (0, 2) (2) (2, 1) (3) (0, 1) (4) (1, 2)

1. P-1, Q-2, R-3, S-4
2. P-3, Q-1, R-4, S-2
3. P-3, Q-1, R-2, S-4
4. P-1, Q-3, R-2, S-1

Correct answer: P-3, Q-1, R-2, S-4

Solution

Rules: Radial nodes = n - l - 1. Angular nodes = l. 2p (n=2, l=1): radial = 2-1-1 = 0, angular = 1 -> (0,1) = entry 3. 3d (n=3, l=2): radial = 3-2-1 = 0, angular = 2 -> (0,2) = entry 1. 4p (n=4, l=1): radial = 4-1-1 = 2, angular = 1 -> (2,1) = entry 2. 4d (n=4, l=2): radial = 4-2-1 = 1, angular = 2 -> (1,2) = entry 4. Matching: P-3, Q-1, R-2, S-4.

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