Question

Match List-I with List-II. List-I contains quantum numbers and List-II contains orbitals. 

List-I	n	l
A	2	1
B	4	0
C	5	3
D	3	2

 

List-II	Orbital
I	3d
II	2p
III	4s
IV	5f

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

Hint:

Remember orbital symbols from \(l\)-values: \(l=0\Rightarrow s\), \(l=1\Rightarrow p\), \(l=2\Rightarrow d\), \(l=3\Rightarrow f\).

Answer 1

The Correct Option is B

Step 1: Understanding the Topic:
This question deals with the structure of the atom and the quantum mechanical model. Specifically, it tests the identification of atomic orbitals using principal quantum numbers ($n$) and azimuthal quantum numbers ($l$). Every electron in an atom is described by a set of quantum numbers that define its energy, shell, and the shape of the orbital it occupies. Understanding this notation is essential for writing electronic configurations and predicting the chemical properties of elements.
Step 2: Key Formulas and Approach:
The orbital name is a combination of the principal quantum number $n$ and a letter corresponding to the $l$ value. The standard subshell mapping is:
$l = 0 \rightarrow s$ subshell
$l = 1 \rightarrow p$ subshell
$l = 2 \rightarrow d$ subshell
$l = 3 \rightarrow f$ subshell
We simply combine the value of $n$ with the appropriate letter.
Step 3: Detailed Explanation:

A. n=2, l=1: The shell is 2 and the $l=1$ indicates a 'p' subshell. Therefore, this is the 2p orbital. A matches with II.
B. n=4, l=0: The shell is 4 and the $l=0$ indicates an 's' subshell. Therefore, this is the 4s orbital. B matches with III.
C. n=5, l=3: The shell is 5 and the $l=3$ indicates an 'f' subshell. Therefore, this is the 5f orbital. C matches with IV.
D. n=3, l=2: The shell is 3 and the $l=2$ indicates a 'd' subshell. Therefore, this is the 3d orbital. D matches with I.
Step 4: Final Answer:
The matching sequence is A-II, B-III, C-IV, D-I, which is provided in option (C).