Atomic StructureMedium

Question

Match the List-I with List-II :

List-I List-II
Orbital Radial nodes and nodal plane
A. 2 s I. 1 Radial node + two nodal planes
B. 3 s II. 1 Radial node + one nodal plane
C. 3 p III. 2 Radial nodes + No nodal plane
D. 4 d IV. 1 Radial node + No nodal plane.

Choose the correct answer from the options given below:

Options

A.A-IV, B-I, C-III, D-II
B.A-IV, B-II, C-III, D-I
C.A-III, B-I, C-IV, D-II
D.A-IV, B-III, C-II, D-I

Solution

Sol. [Key Concept: Radial nodes $= n - l - 1$ and number of nodal planes $= l$; apply to $2s,3s,3p,4d$ and match.]

No. of Radial nodes $= n - \mathcal{l} - 1$

No. of Angular nodes or nodal planes $= \mathcal{l}$

$$2\text{ }s \Rightarrow n = 2,\mathcal{l} = 0 $$1 radial node + zero nodal plane

$$3\text{ }s \Rightarrow n = 3,\mathcal{l} = 0 $$2 radial node + zero nodal plane

$$3p \Rightarrow n = 3,\mathcal{l} = 1 $$1 radial node +1 nodal plane

$$4\text{ }d \Rightarrow n = 4,\mathcal{l} = 2 $$1 radial node +2 nodal plane

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