GATE AG 2009 • Q54
MCQ • 1 Mark
Section 4: Soil and Water Conservation Engineering
Hydrology
Subtopic: Runoff estimation
Question Statement:
(Statement for Q.53–54 as above.)
Options:
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(A) 10.5
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(B) 17.7
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(C) 26.8
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(D) 30.5
Step-by-Step Solution & Explanation
For steady radial flow into an unconfined aquifer: Q = πK(hw²−h0²)/ln(R/rw). Q = π×19×(32²−27²)/ln(2000) = π×19×(1024−729)/7.601 = π×19×295/7.601 = 17,614/7.601 = 2317 m³/day. Converting: 2317 × 1000/86,400 = 26.82 L/s ≈ 26.8 L/s, matching option (C).
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