This set of Fluid Mechanics Objective Questions & Answers focuses on “Gradually Varied Flow(GVF) – 3”.

1. 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

a) 0.5m

b) 1.5m

c) 2.5m

d) 3.5m

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2. 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^{-5}m. Given: F_{r}=0.48.

a) 0.60×10^{-5}m

b) 1.60×10^{-5}m

c) 2.60×10^{-5}m

d) 3.60×10^{-5}m

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3. 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^{-5}m and V=2 m/s

a) 1.86×10^{-5}m

b) 2.86×10^{-5}m

c) 3.86×10^{-5}m

d) 4.86×10^{-5}m

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4. If ^{dE}⁄_{dx} = 2.5×10^{-4} m and ^{dy}⁄_{dx} = 3.5×10^{-4} m, calculate the value of F_{r}.

a) 0.23

b) 0.33

c) 0.43

d) 0.53

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5. The rate of change of specific energy is given by x^{2}/2 and x ranges from 0 to 3, calculate the value of specific energy.

a) 2.5m

b) 3.5m

c) 4.5m

d) 5.5m

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6. The rate of change of depth is given by 1/x^{2} and the rate of change of specific energy is given by 3x^{2} with x ranging from 0 to 0.2, calculate the value of Froude’s number.

a) 0.96

b) 0.97

c) 0.98

d) 0.99

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7. 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^{-4}m.

a) 2.33×10^{-4}m

b) 3.33×10^{-4}m

c) 4.33×10^{-4}m

d) 5.33×10^{-4}m

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8. 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 S_{0}=1 in 1000.

a) 0.1

b) 0.2

c) 0.3

d) 0.4

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

a) True

b) False

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10. If the ratio of ^{dE}⁄_{dx} and ^{dy}⁄_{dx} is 0.2823, estimate the value of Froude’s number.

a) 0.65

b) 0.75

c) 0.85

d) 0.95

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Explanation: Ratio = 1 – F

_{r}

^{2}= 0.2823; F

_{r}=0.85.

**Sanfoundry Global Education & Learning Series – Fluid Mechanics.**

To practice all objective questions on Fluid Mechanics, __here is complete set of 1000+ Multiple Choice Questions and Answers__.