In what context would the term 'weary' most appropriately apply?

The term 'weary' is most appropriately applied in contexts that involve fatigue or exhaustion due to exertion. Following intense mental or physical effort is a situation that aligns perfectly with this definition, as it suggests a state of tiredness resulting from having exerted oneself significantly.

When one has engaged in strenuous activities, whether they are cognitive tasks that drain mental resources or physical tasks that overwhelm the body's stamina, a sense of weariness is a natural and expected outcome. This feeling reflects a diminished capacity to continue performing at the same level due to the demands placed on the body or mind.

In contrast, a long period of rest would typically lead to feelings of rejuvenation rather than weariness, while a time of great excitement would more likely be associated with energy and enthusiasm rather than fatigue. Similarly, embarking on a new project might invoke feelings of anticipation and motivation, not weariness, as it is often a time of invigorated focus and new beginnings. Thus, the most fitting context for the term 'weary' is indeed after experiencing significant mental or physical effort.