Final answer:
The Babcock forceps is the most commonly used instrument to grasp the appendix during an Appendectomy due to its gentle, non-crushing grip, suitable for delicate structures.
Step-by-step explanation:
The instrument most commonly used to grasp the appendix during an Appendectomy is the Babcock forceps. The Babcock forceps is a non-crushing clamp with rounded tips specifically designed to hold delicate structures like the appendix without causing trauma. Other instruments mentioned, such as the Allis forceps, Kocher forceps, and Halsted Mosquito forceps, while useful in various surgical procedures, are not typically the preferred choice for grasping the appendix during an appendectomy. The Babcock forceps provide a gentle, secure grasp of the appendix, enabling surgeons to manipulate and remove the appendix effectively.