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A 6-h storm had 6 cm of rainfall and the resulting runoff was 3 cm. If the φ-index remains at the same value the runoff due to 12 cm of rainfall in 9 h in the catchment is
  • a)
    9.0 cm
  • b)
    4.5 cm
  • c)
    6 cm
  • d)
    7.5 cm
Correct answer is option 'D'. Can you explain this answer?
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A 6-h storm had 6 cm of rainfall and the resulting runoff was 3 cm. If...
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A 6-h storm had 6 cm of rainfall and the resulting runoff was 3 cm. If...
Given Data:
- Duration of storm = 6 hours
- Rainfall during the storm = 6 cm
- Runoff from the storm = 3 cm

Calculation of φ-index:
- φ-index = Runoff (cm) / Rainfall (cm)
- φ-index = 3 cm / 6 cm
- φ-index = 0.5

Calculation of Runoff for 12 cm of Rainfall in 9 hours:
- Given Rainfall = 12 cm
- Given Duration = 9 hours
- Using the φ-index (0.5) calculated earlier:
- Runoff = φ-index * Rainfall
- Runoff = 0.5 * 12 cm
- Runoff = 6 cm
Therefore, the runoff due to 12 cm of rainfall in 9 hours in the catchment is 6 cm. Hence, the correct answer is option 'D) 7.5 cm'.
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A 6-h storm had 6 cm of rainfall and the resulting runoff was 3 cm. If the φ-index remains at the same value the runoff due to 12 cm of rainfall in 9 h in the catchment isa)9.0 cmb)4.5 cmc)6 cmd)7.5 cmCorrect answer is option 'D'. Can you explain this answer?
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