The given question pertains to structural analysis, specifically regarding the bending moments in a prismatic continuous beam under a uniformly distributed load. To solve the question, let's first understand the behavior of beams under such loading conditions.

Continuous Beams: A continuous beam spans over multiple supports with spans that are connected. When a continuous beam is subjected to a uniformly distributed load, it experiences both positive (sagging) and negative (hogging) moments across its span.

Bending Moments in Continuous Beams: - Sagging Moment: This is the bending moment that causes the beam to bend downwards and is typically observed at midspans between two supports. - Hogging Moment: This is the bending moment that causes the beam to bend upwards, which usually occurs at the supports where the beam overlaps in a continuous manner.

Explanation for Intermediate Support: In a homogenous and prismatic continuous beam under a uniformly distributed load, the bending moment at an intermediate support is a hogging moment. This is because the beam is fixed or continuous at the support, causing a negative moment that lifts the beam at the support region.

Therefore, the correct answer is that the bending moment at an intermediate support is hogging.

Justification for Incorrect Options:

1. Sagging: This occurs at the midspan, not at the supports.
2. Equal to the midspan moment: The moment at the support is not equal to the midspan moment as they experience different types of moments (negative in supports and positive in spans).
3. Zero: The bending moment is not zero at the supports due to the continuity and load applied.