The drape coefficient is a measure of a fabric's ability to form graceful and attractive folds when draped. A high value of the drape coefficient indicates that the fabric has a high resistance to folding and is more stiff. Fabrics with a high drape coefficient tend to retain their shape and structure, making them less flexible. They are often used in garments that require shape retention, such as jackets and coats.
Conversely, a low drape coefficient suggests a limp fabric (A), which is soft and flexible and easily conforms to the shape of the body or surface it is draped over. A compressible fabric (C) has good compressibility and is usually not stiff. A smooth fabric (D) refers to a fabric with a smooth texture but does not directly relate to its drape characteristics.
Therefore, a high drape coefficient corresponds to a stiff fabric.
Final Answer: \boxed{(B) Stiff fabric}