Step 1: Understanding the Concept:
Soil erosion by water is driven by rainfall erosivity, soil erodibility, topography, and surface cover.
The Universal Soil Loss Equation (USLE) uses a rainfall erosivity factor ($R$) to quantify the capacity of rainfall to cause soil detachment and transport.
Step 2: Detailed Explanation:
Let us analyze the correctness of both statements:
1. Reason R: The rainfall erosion index ($EI_{30}$) is calculated as the product of the total kinetic energy of a rainstorm ($E$) and its maximum continuous 30-minute intensity ($I_{30}$).
This index quantifies the combined effect of raindrop impact and runoff rate during the storm, making Reason R correct.
2. Assertion A: The effective rainfall erosion index represents the net erosive force of rainfall that reaches the soil surface after passing through any vegetation canopy or crop residue.
Vegetation and mulch absorb the kinetic energy of falling raindrops, protecting the soil.
The effective erosion index is linearly proportional to the percentage of ground left bare (not covered by vegetation), as bare soil is directly exposed to raindrop impact. Thus, Assertion A is correct.
While both statements are correct, the definition of the rain erosion index in terms of kinetic energy and 30-minute intensity (R) does not explain the biological shielding mechanism by which vegetation cover reduces effective erosivity (A).
Therefore, Reason R is not the correct explanation of Assertion A.
Step 3: Final Answer:
Both Assertion A and Reason R are correct, but Reason R is not the correct explanation of Assertion A, which corresponds to Option (B).