**Core Concept**
A Primary Urban Health Centre (PUHC) is a healthcare facility that provides basic medical care to the urban population. It is part of the National Rural Health Mission's (NRHM) plan to strengthen healthcare infrastructure in urban areas, focusing on primary healthcare services. The PUHC is designed to cater to the needs of a specific population size.

**Why the Correct Answer is Right**
The correct answer is based on the NRHM's guidelines, which suggest that a PUHC should serve a population of 30,000 to 50,000. This population size is considered ideal for providing accessible and affordable healthcare services, including preventive, promotive, curative, and rehabilitative care. The PUHC is expected to have a team of healthcare professionals, including doctors, nurses, and support staff, who can provide comprehensive care to the population.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect as it is too small a population size for a PUHC to be effective and sustainable.
* **Option B:** This option is incorrect as it is not a standard population size for a PUHC, and may not be feasible in terms of resource allocation.
* **Option D:** This option is incorrect as it is too large a population size for a PUHC, and may require a more complex healthcare infrastructure.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the population size for a PUHC is crucial in determining the scope and quality of healthcare services provided. A well-equipped and staffed PUHC can significantly improve the health outcomes of the urban population.

**Correct Answer:** C.