Final answer:
The most likely diagnosis for the patient's symptoms and radiograph findings is a Posterior hip dislocation, consistent with the clinical presentation and mechanism of injury.
Step-by-step explanation:
The most likely diagnosis for the 30-year-old man with severe pain in the right hip, showing a shortened and internally rotated leg, with an anterior-posterior plain radiograph negative for fractures but with a smaller appearance of the right femoral head than the uninjured side, is Posterior hip dislocation (C).
Hip dislocations are generally caused by significant trauma, such as a motor vehicle crash, and the described clinical presentation of the leg being shortened, internally rotated, and adducted is characteristic of a posterior hip dislocation. The symptomatic limitation in the range of motion due to severe pain also aligns with this diagnosis. Although an X-ray image might not show a visible fracture, the dislocation could cause the femoral head to appear smaller on the X-ray due to its posterior displacement.