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Match the LIST-I with LIST-II
| List-I Orbital | List-II Radial nodes and nodal plane | ||
|---|---|---|---|
| A. | 2s | I. | 1 Radial node + two nodal planes |
| B. | 3s | II. | 1 Radial node + one nodal plane |
| C. | 3p | III. | 2 Radial nodes + No nodal plane |
| D. | 4d | IV. | 1 Radial node + No nodal plane |
Choose the correct answer from the options given below:
The number of angular (nodal) planes for an orbital is equal to the azimuthal quantum number (l), while the number of radial nodes is given by
$$\text{Radial nodes}=n-l-1.$$
For the (2s) orbital,
$$n=2,\qquad l=0,$$
so,
$$\text{Angular nodes}=0,$$
$$\text{Radial nodes}=2-0-1=1.$$
Hence,
$$A\rightarrow IV.$$
For the (3s) orbital,
$$n=3,\qquad l=0,$$
so,
$$\text{Angular nodes}=0,$$
$$\text{Radial nodes}=3-0-1=2.$$
Hence,
$$B\rightarrow III.$$
For the (3p) orbital,
$$n=3,\qquad l=1,$$
so,
$$\text{Angular nodes}=1,$$
$$\text{Radial nodes}=3-1-1=1.$$
Hence,
$$C\rightarrow II.$$
For the (4d) orbital,
$$n=4,\qquad l=2,$$
so,
$$\text{Angular nodes}=2,$$
$$\text{Radial nodes}=4-2-1=1.$$
Hence,
$$D\rightarrow I.$$
Therefore, the correct matching is
$$A\rightarrow IV,\qquad B\rightarrow III,\qquad C\rightarrow II,\qquad D\rightarrow I.$$
Hence, the correct answer is A-IV, B-III, C-II, D-I.
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