Step 1: Understanding the Concept
A stereocentre is an \(sp^3\) carbon attached to four different groups.
Step 2: Propan-2-ol
In \(\text{CH}_3\text{CH(OH)CH}_3\), C-2 carries H, OH and two identical \(\text{CH}_3\) groups. So it is not a stereocentre.
Step 3: Other Options
Butan-2-ol has H, OH, \(\text{CH}_3\), \(\text{C}_2\text{H}_5\) on C-2. 2-Bromo-1-chlorobutane and 2-bromopentane also have four different groups on C-2.
Step 4: Conclusion
Propan-2-ol has no stereocentre, option (A).
Final Answer:
Propan-2-ol does not have a stereocentre.
\[ \boxed{\text{(A) }\text{Propan-2-ol}} \]