Subtopic: Thermodynamic principles of I.C. engines
Question Statement:
If x be the highest mean monthly precipitation and y be the mean annual precipitation, then the 'rainfall aggressiveness' to soil erosion is
Options:
(A) x²/y
(B) x/y
(C) x²/y²
(D) y²/x
Official Answer Key:
A
Step-by-Step Solution & Explanation
The Fournier index (rainfall aggressiveness/erosivity index), a standard measure of a climate's erosive potential used in soil-loss estimation, is defined as the ratio of the square of the highest mean monthly precipitation to the mean annual precipitation: Index = x²/y. This weighting (squaring the peak month) reflects that erosivity is disproportionately driven by the most intense rainfall period, not simply the average distribution. Hence (A) is correct; the other options do not correspond to this standard definition.
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