Step 1: Recall the relation between \(l\) value and orbital type.
The azimuthal quantum number \(l\) decides the type of orbital.
\[
l=0 \Rightarrow s\text{-orbital}
\]
\[
l=1 \Rightarrow p\text{-orbital}
\]
\[
l=2 \Rightarrow d\text{-orbital}
\]
\[
l=3 \Rightarrow f\text{-orbital}
\]
Step 2: Match A.
For A:
\[
n=2,\quad l=1
\]
Since:
\[
l=1 \Rightarrow p
\]
Therefore:
\[
A=2p
\]
So:
\[
A-II
\]
Step 3: Match B.
For B:
\[
n=4,\quad l=0
\]
Since:
\[
l=0 \Rightarrow s
\]
Therefore:
\[
B=4s
\]
So:
\[
B-III
\]
Step 4: Match C.
For C:
\[
n=5,\quad l=3
\]
Since:
\[
l=3 \Rightarrow f
\]
Therefore:
\[
C=5f
\]
So:
\[
C-IV
\]
Step 5: Match D.
For D:
\[
n=3,\quad l=2
\]
Since:
\[
l=2 \Rightarrow d
\]
Therefore:
\[
D=3d
\]
So:
\[
D-I
\]
Thus, the correct matching is:
\[
A-II,\quad B-III,\quad C-IV,\quad D-I
\]