**Core Concept**
The periodontal ligament (PDL) is a complex tissue that plays a crucial role in tooth support and function. It consists of collagen fibers, fibroblasts, and other cells that help maintain the tooth in its socket. The PDL is highly susceptible to injury, including avulsion, which can disrupt its structure and function.

**Why the Correct Answer is Right**
After avulsion, the cells of the PDL, particularly the periodontal ligament fibroblasts, undergo a process called apoptosis, or programmed cell death. This occurs due to the mechanical stress and trauma caused by the avulsion, which disrupts the normal cellular function and leads to cell death. The duration for which the PDL cells survive after avulsion is approximately 1-2 weeks. During this time, the cells undergo a process of necrosis, leading to the eventual loss of the PDL.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because the duration for which the PDL cells survive after avulsion is not immediate, but rather a period of several days to weeks.

**Option B:** This option is incorrect because the PDL cells do not survive indefinitely after avulsion, but rather undergo a process of cell death due to the trauma.

**Option C:** This option is incorrect because the PDL cells do not survive for a duration of several months after avulsion, but rather a much shorter period.

**Clinical Pearl / High-Yield Fact**
The periodontal ligament is a dynamic tissue that plays a crucial role in tooth support and function. After avulsion, the PDL cells undergo a process of apoptosis, leading to cell death and eventual loss of the PDL. It is essential to manage avulsion injuries promptly to minimize damage to the PDL and promote healing.

**Correct Answer:** C.