Test 26 - Classification of GVF Profiles

Question 1 ప్రశ్న 1

Using the convention that a channel bed falling in the downstream direction has positive slope S0, which set correctly classifies the five standard bed-slope types used in GVF profile analysis?

A Mild: S0 > Sc; Steep: 0 < S0 < Sc; Critical: S0 = 0; Horizontal: S0 = Sc; Adverse: S0 > 0 B Mild: 0 < S0 < Sc; Steep: S0 > Sc; Critical: S0 = Sc; Horizontal: S0 = 0; Adverse: S0 < 0 C Mild: S0 = Sc; Steep: S0 < 0; Critical: S0 > Sc; Horizontal: S0 > 0; Adverse: S0 = 0 D Mild: S0 < 0; Steep: S0 = 0; Critical: 0 < S0 < Sc; Horizontal: S0 > Sc; Adverse: S0 = Sc

Question 2 ప్రశ్న 2

For a given discharge in a prismatic channel, which relationship between normal depth yn and critical depth yc identifies a mild slope?

A yn < yc B yn = yc C yn > yc D yn = 0

Question 3 ప్రశ్న 3

For a given discharge in a prismatic channel, which relationship identifies a steep slope?

A yn < yc B yn > yc C yn = yc D yn approaches infinity

Question 4 ప్రశ్న 4

What condition defines a critical channel slope for the specified discharge, geometry and resistance?

A yn > yc B yn < yc C Normal depth does not exist D yn = yc

Question 5 ప్రశ్న 5

Which statement about normal depth on horizontal and adverse slopes is most appropriate for ordinary gravity-driven open-channel flow?

A Both always possess a finite normal depth below critical depth B A finite conventional normal depth is not available because the bed slope cannot balance positive friction loss in ordinary uniform flow C Normal depth must equal critical depth on both slopes D Normal depth is always zero

Question 6 ప్రశ్న 6

For mild and steep channels where both yn and yc are finite, how are the three GVF profile zones conventionally defined?

A Zone 1: y below both reference depths; Zone 2: y above both; Zone 3: y between them B Zone 1: y = yc; Zone 2: y = yn; Zone 3: y = 0 C Zone 1: y above both yn and yc; Zone 2: y between yn and yc; Zone 3: y below both yn and yc D The zones are defined only by channel width

Question 7 ప్రశ్న 7

What is the flow regime of any Zone 1 GVF profile in the standard classification?

A Subcritical, because y > yc B Supercritical, because y < yc C Critical at every section D The regime cannot be determined from depth

Question 8 ప్రశ్న 8

What is the flow regime of any Zone 3 profile?

A Always subcritical B Always critical C Always uniform D Supercritical, because y < yc

Question 9 ప్రశ్న 9

Which statement correctly describes the hydraulic regime in Zone 2?

A Zone 2 is always critical B Zone 2 is subcritical on a mild slope but supercritical on a steep slope C Zone 2 is supercritical on a mild slope but subcritical on a steep slope D Zone 2 is always uniform

Question 10 ప్రశ్న 10

A prismatic channel has yn = 2.40 m and yc = 1.20 m. At a section the actual depth is y = 3.00 m. Which GVF profile designation applies?

A M1 B M2 C S1 D M3

Question 11 ప్రశ్న 11

For the same mild channel with yn = 2.40 m and yc = 1.20 m, the actual depth is y = 1.80 m. Which profile is present?

A M1 B M3 C M2 D S2

Question 12 ప్రశ్న 12

A mild channel has yn = 2.40 m and yc = 1.20 m. If the actual depth is y = 0.80 m, what is the profile designation?

A M2 B M3 C S3 D H3

Question 13 ప్రశ్న 13

A channel has yn = 0.90 m and yc = 1.50 m. At a section the actual depth is y = 2.20 m. Which GVF profile is present?

A M1 B S2 C S1 D S3

Question 14 ప్రశ్న 14

For the same steep channel with yn = 0.90 m and yc = 1.50 m, the actual depth is y = 1.20 m. Which profile applies?

A S2 B S1 C M2 D S3

Question 15 ప్రశ్న 15

For a steep channel with yn = 0.90 m and yc = 1.50 m, the actual depth is y = 0.60 m. Which profile is present?

A S1 B S2 C S3 D M3

Question 16 ప్రశ్న 16

For a critical-slope channel where yn = yc, which standard GVF profiles are physically applicable?

A C1, C2 and C3 B C2 only C C1 and C3 D Only C1

Question 17 ప్రశ్న 17

Why is a conventional C2 profile absent from the standard realizable GVF classification?

A Because critical channels have no friction B Because yn = yc, so the Zone 2 interval between normal and critical depths collapses C Because all critical-slope flow is necessarily uniform D Because C2 would require a horizontal bed

Question 18 ప్రశ్న 18

Which profile designations apply on a horizontal channel bed?

A H1, H2 and H3 B H1 and H3 only C H2 and H3 only D H1 and H2 only

Question 19 ప్రశ్న 19

Which pair correctly describes the standard adverse-slope GVF profiles?

A A1 for y > yc and A2 for y < yc B A2 for y > yc and A3 for y < yc C A1 for y > yn and A3 for y = yc D A2 for y < yc and A3 for y > yc

Question 20 ప్రశ్న 20

Why are H1 and A1 absent from the standard set of realizable GVF profiles?

A Horizontal and adverse channels have no finite normal-depth line that can define a conventional Zone 1 above both yn and yc B Zone 1 exists only in closed-pipe flow C Horizontal and adverse channels cannot carry subcritical flow D Their critical depths are always zero

Question 21 ప్రశ్న 21

Using dy/dx = (S0 - Sf)/(1 - Fr²) with x positive downstream, which sequence correctly gives the signs of dy/dx for M1, M2 and M3 profiles?

A M1 negative, M2 positive, M3 negative B M1 positive, M2 positive, M3 negative C M1 positive, M2 negative, M3 positive D All three are negative

Question 22 ప్రశ్న 22

Which sequence correctly gives the downstream signs of dy/dx for the S1, S2 and S3 profiles?

A S1 positive, S2 negative, S3 positive B S1 negative, S2 positive, S3 negative C All three are positive D All three are negative

Question 23 ప్రశ్న 23

Which statement about approach to normal depth is correct for standard GVF profiles?

A A profile can cross its normal-depth line freely without changing classification B Normal depth is reached with an infinite depth gradient in every case C Profiles such as M1 and M2 approach the normal-depth line asymptotically rather than crossing it within the same prismatic reach D Only supercritical profiles can approach normal depth

Question 24 ప్రశ్న 24

For profiles that approach critical depth while S0 - Sf remains nonzero, what does the standard GVF equation predict?

A The depth gradient approaches zero B The magnitude of dy/dx becomes very large because 1 - Fr² approaches zero C The friction slope must become zero D The profile necessarily becomes uniform

Question 25 ప్రశ్న 25

Which statement about hydraulic control is consistent with the GVF profile classification?

A Subcritical profiles are generally controlled from downstream, whereas supercritical profiles are generally controlled from upstream B All profiles must be controlled only from downstream C Supercritical profiles are always controlled from downstream because their velocity is greater D The direction of control is unrelated to the Froude number

Question 26 ప్రశ్న 26

Consider the following statements about standard GVF profile classification: I. Mild slopes admit M1, M2 and M3 profiles. II. Steep slopes admit S1, S2 and S3 profiles. III. Critical slopes have C1 and C3 because Zone 2 disappears when yn = yc. IV. Horizontal and adverse slopes have only the 2- and 3-type profiles in the standard realizable classification. Which option is correct?

A I and II only B I, II and III only C II, III and IV only D I, II, III and IV

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