Conformational Analysis

The stability of a conformation depends on the steric strain and torsional strain. In chair conformations, bulky substituents prefer equatorial positions to minimize steric strain. The correct conformation in this case is the one where bulky groups are in the equatorial positions.

Step 1: Analyze Each Conformation.
- In option (1), the bulky groups (represented by methyl or other groups) are in equatorial positions, minimizing steric interactions. This will be the most stable conformation.

Final Answer:

Step 1: Steric Strain Considerations.
To determine the most stable conformation, we need to minimize steric strain by placing bulky substituents in the equatorial positions of a chair conformation. In this case, the substituents are the bromine (Br) and hydroxyl (OH) groups.

Step 2: Evaluate the Conformations.
- In option (1), the bulky groups (Br and OH) are in the equatorial positions, which minimizes steric hindrance. This conformation will be the most stable.
- Other options involve either axial positions for the bulky groups or a less favorable arrangement, leading to higher steric strain.

Step 3: Conclusion.
Thus, the most stable conformation is option (1).

Final Answer: