Step 1: Understanding the Concept:
The runoff coefficient ($C$) is the ratio of runoff to rainfall.
A higher runoff coefficient indicates that a larger fraction of rainfall becomes surface runoff, which is highly dependent on vegetation cover, soil type, and slope.
Detailed Explanation:
Let us analyze the impact of land cover on runoff for a silt soil with a steep slope ($10\%$-$30\%$):
- Forest land (C): Dense canopy, leaf litter, and deep root networks maximize rainfall interception and soil infiltration, resulting in the lowest runoff coefficient.
- Pasture land (B): Grass cover provides moderate protection against raindrop impact and slows down surface flow, resulting in an intermediate runoff coefficient.
- Cultivated land (A): Often bare, disturbed, or tilled, offering the least protection against soil erosion and surface sealing. This leads to the highest runoff coefficient.
Arranging the lands from lower to higher runoff coefficient:
\[ \text{Forest land (C)} \rightarrow \text{Pasture land (B)} \rightarrow \text{Cultivated land (A)} \]
This corresponds to the sequence: (C), (B), (A).
Step 2: Final Answer:
The correct sequence matches Option (C).