The cold forming process in which a hardened tool is pressed against a workpiece (when there is relative motion between the tool and the workpiece) to produce a roughened surface with a regular pattern is

The correct option is Knurling.

Detailed Step-by-Step Explanation:

1. Understanding the Process:
The question describes a cold forming process where a hardened tool (a knurling tool containing a patterned roller) is pressed against a rotating workpiece. Because of the pressure and relative motion, the material on the surface of the workpiece plastically deforms to match the pattern of the hardened tool.

2. Identifying the Purpose:
The primary objective of this process is to produce a roughened surface with a regular, textured pattern (typically straight, diagonal, or diamond-shaped). This rough pattern is created to provide a better gripping surface on handles, knobs, keys, and other hand-held tools.

3. Evaluating the Options:

• Strip rolling: This is a bulk deformation process used to reduce the thickness of a metal strip or sheet by passing it between rollers. It does not produce a regular roughened grip pattern on a workpiece.
• Knurling: This is the specific manufacturing process (often performed on a lathe) where a hardened patterned roller is pressed against a rotating workpiece to create a textured, knurled pattern. This matches the description perfectly.
• Roll forming: This is a continuous bending operation where a long strip of metal is passed through consecutive sets of rolls to bend it into a desired cross-sectional profile.
• Chamfering: This is a machining process used to cut a bevel or a sloping edge at the corner of a workpiece, primarily to remove burrs and sharp edges rather than producing a patterned, roughened surface.

Therefore, the process described is precisely Knurling.