Match List I with List II : List I (Quantum Numbers ) $n$, $l$ Choose the correct answer from the options given below :List II (Orbital) A. 2, 1 I. 3d B. 4, 0 II. 2p C. 5, 3 III. 4s D. 3, 2 IV. 5f
Matching Quantum Numbers ($n, l$) to Atomic Orbitals
To match the quantum numbers ($n$, $l$) with the correct atomic orbital notation, we need to understand the meaning of each quantum number:
- The principal quantum number, $n$, indicates the electron shell or energy level. It can be any positive integer ($1, 2, 3, \dots$).
- The azimuthal or angular momentum quantum number, $l$, indicates the shape of the orbital and the subshell. The possible values of $l$ range from $0$ to $n-1$.
- $l=0$ corresponds to an 's' orbital.
- $l=1$ corresponds to a 'p' orbital.
- $l=2$ corresponds to a 'd' orbital.
- $l=3$ corresponds to an 'f' orbital.
The orbital notation is formed by combining the value of $n$ with the letter corresponding to $l$ (e.g., $n=2, l=1$ is denoted as 2p).
Matching Process
Let's match each pair from List I to List II:
- A. $n=2, l=1$: Since $l=1$, it represents a 'p' orbital. With $n=2$, the orbital is 2p. This matches with II.
- B. $n=4, l=0$: Since $l=0$, it represents an 's' orbital. With $n=4$, the orbital is 4s. This matches with III.
- C. $n=5, l=3$: Since $l=3$, it represents an 'f' orbital. With $n=5$, the orbital is 5f. This matches with IV.
- D. $n=3, l=2$: Since $l=2$, it represents a 'd' orbital. With $n=3$, the orbital is 3d. This matches with I.
Summary of Matches
| List I Item | Quantum Numbers ($n, l$) | List II Item | Corresponding Orbital |
|---|---|---|---|
| A | (2, 1) | II | 2p |
| B | (4, 0) | III | 4s |
| C | (5, 3) | IV | 5f |
| D | (3, 2) | I | 3d |
The correct matching is A-II, B-III, C-IV, D-I.
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