Q. Calculate the rate of change of depth of a triangular channel if the depth is 4m and the side slope is 1H:2V. Given:S₀ = 1 in 1500;Sf = 0.00004 and n=0.010.

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Q. Calculate the value of Sf for a trapezoidal channel having depth 2m, width 5m and side slope of 1H:1.5V. Given: dy/dx=1.18×10⁻³,S₀ = 1 in 1000, C = 50.

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Q. Determine the rate of change of depth of a rectangular channel having dimensions 2m×3m and the velocity of flow is 2 m/s.
Given:S₀ = 1 in 500 and Sf = 0.0007.

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Q. Calculate the velocity of flow in a triangular channel having depth 7m and the side slope of the channel is 1H:4V if the bed slope of the channel is 1 in 1200 and the slope of the energy line is 0.00010. Given:( dy)/dx=7.55m.

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Q. Calculate the value of bed slope of a trapezoidal channel having depth 2m and width 2.5m with a side slope of1H:3V. Given: dy/dx=1.43×10⁻³; Sf = 0.00002; V = 1.5 m/s.

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Q. The dimensions of a rectangular channel section is 2.5m×1m. Calculate the value of Sf if the bed slope of the channel is 1 in 600. Given: dy/dx=1.52×10⁻³m.

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Q. The dimensions of a rectangular channel section is 2.5m×1m. Calculate the rate of change of specific energy if the rate of change of depth is 1.52×10⁻³m.

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Q. Calculate the value of rate of change of specific energy for a triangular channel having depth 3.5m and the side slope is 1H:2V. Given:V = 2.5 m/s, dy/dx=8.6×10⁻⁴.

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Q. Determine the value of the hydraulic depth of a channel having dy⁄dx = 4×10⁻⁴ and dE⁄dx = 3.73×10⁻⁴. Given:V = 1m/s

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Q. A rectangular channel has depth of 1m and width of 2m, calculate the rate of change of depth if the rate of change of specific energy is 2×10⁻⁵m. Given: Fᵣ=0.48.

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Q. The top width of a triangular channel section is 6m and the side slope of the channel is 1H:4V, calculate the rate of change of specific energy if dy⁄dx = 2×10⁻⁵m and V=2 m/s.

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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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