Which of the following is a traumatic injury that can lead to ischemia?

A dislocated shoulder is indeed a traumatic injury that can lead to ischemia. This type of injury involves the shoulder joint being forcibly displaced, which can compromise blood flow to surrounding tissues. The dislocation can cause stretching or damage to blood vessels and nerves, potentially leading to reduced blood supply (ischemia) in the affected area. If blood flow is not restored, it can result in tissue damage or necrosis.

Considering other traumatic injuries listed, burns to the skin primarily affect the integrity of the skin and do not directly lead to ischemia, although severe burns can cause other complications. A sprained ankle typically involves ligament overstretching, which can cause pain and swelling but does not usually impede arterial blood flow in a way that results in ischemia. Similarly, a cut on the arm could lead to bleeding or infection but does not inherently cause ischemia unless it severely damages underlying blood vessels and promotes a more specific set of complications.