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GATE Exam Questions - Engineering

Q1:

Water emerges from an ogee spillway with velocity 13.72 m/s and depth = 3.0 m at its toe. The tail water depth required to form a hydraulic jump at the toe is

A 6.48 m

B 5.24 m

C 3.24 m

D 2.24 m

ANS:C - 3.24 m

I also got 9.334.

y2/y1 = 1/2*(√(1+8.F1^2) - 1)
y1 = depth of water before hydraulic jump
y2 = depth of water after hydraulic jump
F1 = froude number of flow before hydraulic jump i.e F=V/√(g*depth) = 13.72/(√(9.81*3)) = 2.52.

y2 = 3* [1/2*( sqrt(1+8*2.52^2) - 1)].
y2 = 9.334m.