**Core Concept**
Pulse pressure refers to the difference between systolic and diastolic blood pressures. It is a crucial indicator of vascular compliance and cardiac output. In a particular vessel, the pulse pressure is influenced by the interplay between stroke volume, peripheral resistance, and the vessel's elastic properties.

**Why the Correct Answer is Right**
The pulse pressure in a particular vessel is chiefly determined by the vessel's elastic properties. Arteries, especially the aorta, act as elastic reservoirs during systole, stretching and storing energy. During diastole, they recoil, releasing this stored energy and propelling blood forward. This elastic behavior is known as the Windkessel effect. The aorta's compliance and the presence of elastic arteries in the upper limb and lower limb circulations contribute to the buffering of pulse pressure.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because the stroke volume, although a contributing factor, does not primarily determine the pulse pressure in a particular vessel. While an increase in stroke volume can increase pulse pressure, it does not account for the vessel's elastic properties.
**Option B:** Peripheral resistance is an important determinant of blood pressure but not the chief determinant of pulse pressure in a particular vessel. Changes in peripheral resistance can affect blood pressure, but they do not directly influence the elastic properties of the vessel.
**Option C:** Cardiac output, like stroke volume, contributes to pulse pressure but is not the primary factor. Cardiac output is the product of heart rate and stroke volume, and while it can influence pulse pressure, it does not account for the vessel's elastic properties.

**Clinical Pearl / High-Yield Fact**
Remember the Windkessel effect as the primary mechanism by which elastic arteries buffer pulse pressure. This concept is essential for understanding blood pressure regulation and the effects of aging on vascular compliance.

**Correct Answer:** C.