Which instruments are used in a handpiece for various dental procedures such as cutting and finishing?

The correct choice refers to dental rotary instruments, which are specifically designed to be used with dental handpieces for a variety of procedures involving cutting, shaping, and finishing tooth structure. These rotary instruments, including drills, burs, and finishing instruments, attach directly to the handpiece and operate at high speeds to efficiently remove decay, prepare cavities, and finish restorations.

By using rotary instruments, dental professionals can accurately perform essential tasks necessary for successful dental treatments. The versatility and precision of these instruments make them fundamental tools in most dental procedures. The other options do not serve this specific function: dental handpieces are simply the tools that hold the rotary instruments; dental explorers are used for examining teeth and detecting decay; and dental mirrors are used for visibility and access in the oral cavity. Each of these plays an important role in dental practice but is not specifically designed for cutting and finishing tasks as the rotary instruments are.