Q. If dE⁄dx = 2.5×10⁻⁴ m and dy⁄dx = 3.5×10⁻⁴ m, calculate the value of Fᵣ.

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Q. The rate of change of specific energy is given by x²/2 and x ranges from 0 to 3, calculate the value of specific energy.

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Q. The rate of change of depth is given by 1/x² and the rate of change of specific energy is given by 3x² with x ranging from 0 to 0.2, calculate the value of Froude’s number.

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Q. The hydraulic depth of a channel is 0.94m and the velocity of flow is 2 m/s. Calculate the rate of change of depth if the rate of change of specific energy is 2.5×10⁻⁴m.

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Q. Calculate the value of Froude’s number for a rectangular channel having depth 1.5m and width 2.5m if the value of C = 30 and S₀=1 in 1000.

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Q. The dynamic equation for the slope of water surface in a GVF is not valid for super critical flow.

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Q. If the ratio of dE⁄dx and dy⁄dx is 0.2823, estimate the value of Froude’s number.

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Q. What is the expression for head loss in case of a GVF?

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Q. What is the expression for the length of the backwater curve?

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Q. Calculate the head loss if the length of the back water curve is 25000m and Sf=0.00006.

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Q. Estimate the slope of energy line in a GVF having length of the back water curve 30000m and head loss of 1m.

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Q. Determine the length of the back water curve if E₁=2.8m and E₂=5.6m. Given:S₀=0.00009, Sf= 0.00004.

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Q. If the difference between specific energies is 2m calculate the rate of change of specific energies if the length of the back water curve is 26314m.

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Q. Calculate the bed slope of the channel if the slope of the energy line 0.00024 and the length of the back water curve is 104166.67m. Given:E₁-E₂=3m.

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Q. If the depths in a channel are 2m and 4m and the velocities are 0.5 m/s and 0.3m/s, calculate the difference between specific energies.

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Q. Calculate the slope of the energy line if the bed slope of the channel is 4.81×10⁻⁵ if the depths of the channel are 2.7m and 4.7m and velocities are 1 m/s and 0.5m/s respectively.

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Q. The dimensions of a rectangular channel is 3m×2m and the bed slope of the channel is 1 in 1000, calculate the rate of change of depth if the rate of change of specific energy is 2×10⁻⁵m. Given: n = 0.010

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Q. Specific energy in GVF changes only under which of the following conditions.

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Q. The channel is prismatic in case of a GVF.

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Q. Calculate the value of frictional slope for a rectangular channel having width 5m and depth 3m. Given:V=2 m/s and n = 0.012.

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