The scour depth D of a river during flood, may be calculated from the Lacey's equation

A D = 0.47 $$\left( {\frac{{\text{Q}}}{{\text{f}}}} \right)$$
B D = 0.47 $${\left( {\frac{{\text{Q}}}{{\text{f}}}} \right)^{\frac{1}{2}}}$$
C D = 0.47 $${\left( {\frac{{\text{Q}}}{{\text{f}}}} \right)^{\frac{1}{3}}}$$
D D = 0.47 $${\left( {\frac{{\text{Q}}}{{\text{f}}}} \right)^{\frac{2}{3}}}$$

Correct Answer: D = 0.47 $${\left( {\frac{{\text{Q}}}{{\text{f}}}} \right)^{\frac{1}{3}}}$$

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