. The discharge from a spillway on a horizontal floor is 8 cumecs per meter width. If the
depth before the jump is 50 cm, the depth after the jump in meters will be
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Discharge Q = Velocity * Head (or water depth).
Q = 10 m^3/s.
v = 20 m/s.
h1 = 10/20 = 0.5 m.
The jump will occur if and only if the level of inflowing (supercritical) water level (h_0) satisfies the condition:
h0/h1 = [-1 + √(1 + 8v^2/(9.81 * h1))]/2.
h0/0.5 = [-1 + √(1 + 8*20^2/(9.81*0.5))]/2 = 3.32.
h0 = 6.64 m.
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