# Open Channel Flow MCQ – Gradually Varied Flow Theory – Set 1 (22 MCQs)

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#### Open Channel Flow MCQ – Gradually Varied Flow Theory – Set 1 (22 MCQs)

The following post contains Multiple Choice Questions (MCQ) covering "Gradually Varied Flow Theory" of Open Channel Flow / Hydraulics. Try answering the questions by yourself. Then you can check the model answers for those Open Channel Flow MCQ on the following link :

Open Channel Flow MCQ - Gradually Varied Flow Theory - Set 1 (Model Answer)

These Open Channel Flow MCQ covers the following topics / points of "Gradually Varied Flow Theory" :

• Introduction to Gradually Varied Flow Theory
• Differential Equation of Gradually Varied Flow GVF
• Classification of Flow Profiles
• Control Sections
• Flow Profile Analysis
• Transitional Depth

The following Open Channel Flow MCQ is important for engineering students and professionals while getting ready for different engineering competitive exams. For any help, you can contact us through the comments and we will reply to you as soon as possible. You can also contact us through the following email author@3nn.4fe.myftpupload.com. ## Open Channel Flow MCQ - Gradually Varied Flow Theory - Set 1

### Question No.1

In terms of conveyances and section factors, the basic differential equation of GVF can written as dy/dx =

• ${S_o}\frac{{1 - {{({K_o}/K)}^2}}}{{1 - {{(Z/{Z_c})}^2}}}$
• ${S_o}\frac{{1 - {{(K/{K_o})}^2}}}{{1 - {{({Z_c}/Z)}^2}}}$
• ${S_o}\frac{{1 - {{({K_o}/K)}^2}}}{{1 - {{({Z_c}/Z)}^2}}}$
• ${S_o}\frac{{1 - {{(K/{K_o})}^2}}}{{1 - {{(Z/{Z_c})}^2}}}$

### Question No.2

In GVF profiles as the depth yyc :

• $\frac{{dy}}{{dx}} \to 0$
• $\frac{{dy}}{{dx}} \to \infty$
• $\frac{{dy}}{{dx}} \to {S_o}$
• $\frac{{dy}}{{dx}} \to {\rm{a finite value}}$

### Question No.3

For a wide rectangular channel, if the Manning’s formula is used, the differential equation of GVF becomes dy/dx =

• ${S_o}\frac{{1 - {{({y_o}/y)}^{3.33}}}}{{1 - {{({y_c}/y)}^{3.33}}}}$
• ${S_o}\frac{{1 - {{({y_o}/y)}^{3.33}}}}{{1 - {{({y_c}/y)}^3}}}$
• ${S_o}\frac{{1 - {{(y/{y_o})}^{3.33}}}}{{1 - {{(y/{y_c})}^3}}}$
• ${S_o}\frac{{1 - {{(y/{y_o})}^3}}}{{1 - {{({y_c}/{y_o})}^{3.33}}}}$

### Question No.4

For a very wide rectangular channel, if Chezy formula is used, the differential equation of GVF is given by dy/dx =

• ${S_o}\frac{{1 - {{({y_o}/y)}^{3.33}}}}{{1 - {{({y_c}/y)}^{3.33}}}}$
• ${S_o}\frac{{1 - {{({y_o}/y)}^3}}}{{1 - {{({y_c}/y)}^3}}}$
• ${S_o}\frac{{1 - {{({y_o}/y)}^3}}}{{1 - {{({y_c}/y)}^{3.33}}}}$
• ${S_o}\frac{{1 - {{({y_o}/y)}^{3.33}}}}{{1 - {{({y_c}/y)}^3}}}$

### Question No.5

Uniform flow is taking place in a rectangular channel having a longitudinal slope of 0.004 and Manning’s n = 0.013. The discharge per unit width in the channel is measured as 1.2 m3/s/m. The slope of the channel is classified in GVF analysis as :

• mild
• critical
• steep
• very steep

### Question No.6

In a GVF, dy/dx is positive if :

• K > Ko and Z > Zc
• K > Ko and Z< Zc
• Ko > Kc and Zo > Zc
• Z > K and Zc > Ko

### Question No.7

A 2.0-m wide rectangular channel has normal depth of 1.25 m when the discharge is 8.75 m3/s. The slope of the channel is classified as :

• steep
• mild
• critical
• essentially horizontal

### Question No.8

Identify the incorrect statement: The possible GVF profiles in :

• mild slope channels are M1, M2 and M3
• adverse slope channels are A2 and A3
• horizontal channels are H1 and H3
• critical slope channels are C1 and C3

### Question No.9

The following types of GVF profiles do not exist :

• C2, H2, A1
• A2, H1, C2
• H1, A1, C2
• C1, A1, H1

### Question No.10

The total number of possible types of GVF profiles are :

• 9
• 11
• 12
• 15

### Question No.11

dy/dx is negative in the following GVF profiles :

• M1, S2, A2
• M2, A2, S3
• A3, A2, M2
• M2, A2, H2

### Question No.12

If in a GVF dy/dx is positive, then dE/dx is :

• always positive
• negative for an adverse slope
• negative if y > yc
• positive if y > yc

### Question No.13

In a channel the gradient of the specific energy dE/dx is equal to :

• ${S_o} - {S_f}$
• ${S_f} - {S_o}$
• ${S_o} - {S_f} - \frac{{dy}}{{dx}}$
• ${S_o}(1 - F_n^2)$

### Question No.14

In a wide river the depth of flow at a section is 3.0 m, So = 1 in 5000 and q = 3.0 m3/s per meter width. If the Chezy formula with C = 70 is used, the water surface slope relative to the bed at the section is :

• −2.732 × 10−4
• 1.366 × 10−4
• 1.211 × 10−5
• −6.234 × 10−4

### Question No.15

The M3 profile is indicated by the following inequality between the various depths :

• ${y_o} > {y_c} > y$
• $y > {y_o} > {y_c}$
• ${y_c} > {y_o} > y$
• $y > {y_c} > {y_o}$

### Question No.16

A long prismatic channel ends in an abrupt drop. If the flow in the channel far upstream of the drop is subcritical, the resulting GVF profile :

• starts from the critical depth at the drop and joins the normal depth asymptotically
• lies wholly below the critical depth line
• lies wholly above the normal depth line
• lies partly below and partly above the critical depth line

### Question No.17

When there is a break in grade due to a mild slope A changing into a milder slope B, the GVF profile produced is :

• M3 curve on B
• M2 curve on B
• M1 curve on B
• M1 curve on A

### Question No.18

In a channel the bed slope changes from a mild slope to a steep slope. The resulting GVF profiles are :

• (M1, S2)
• (M1, S3)
• (M2, S2)
• (M2, S1)

### Question No.19

A rectangular channel has B = 20 m, n = 0.020 and So = 0.0004. If the normal depth is 1.0 m, a depth of 0.8 m in a GVF in this channel is a part of :

• M1
• M2
• M3
• S2

### Question No.20

A rectangular channel has uniform flow at a normal depth of 0.50 m. The discharge intensity in the channel is estimated as 1.40 m3/s/m. If an abrupt drop is provided at the downstream end of this channel, it will cause :

• M2 type of GVF profile
• S2 type of GVF profile
• No GVF profile upstream of the drop
• M1 type of profile

### Question No.21

The flow will be in the supercritical state in the following types of GVF profiles :

• All S curves
• M2
• A3, M3, S2
• S2, M2, S3

### Question No.22

At the transitional depth :

• dy/dx = ∞
• the slope of the GVF profile is zero
• dy/dx = −So
• the slope of GVF profile is horizontal

After you have checked the Open Channel Flow MCQ, you can check the model answers for those MCQ on the following link :

Open Channel Flow MCQ - Gradually Varied Flow Theory - Set 1 (Model Answer)