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A watershed area of 1851 hectare has maximum distance of 7.12 km from the outlet to the farthest point on the divide line. The form factor of the watershed is

  • A.2.60
  • B.2.73
  • C.0.365
  • D.0.385

Answer: C

The form factor is 0.365.

Horton's form factor is the area divided by the square of the basin length, \(R_{f} = A/L^{2}\). Convert the area to square kilometres: 1851 ha = 18.51 km2.

\[ \begin{aligned} R_{f} &= \frac{18.51}{7.12^{2}} \\ &= \frac{18.51}{50.69} \approx 0.365 \end{aligned} \]

2.73 is the reciprocal, \(L^{2}/A\), and 2.60 comes from dividing by the length instead of its square (18.51/7.12). The form factor of a real basin is normally below 1, which signals that the large values are inverted.

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