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Civil Engineering (CE) Exam  >  Civil Engineering (CE) Test  >  GATE 2027 Mock Test Series  >  Test: Dimensional & Model Analysis - 1 - Civil Engineering (CE) MCQ

GATE Civil Engineering (CE) 2027 Test: Dimensional & Model Analysis - 1


MCQ Practice Test & Solutions: Test: Dimensional & Model Analysis - 1 (10 Questions)

You can prepare effectively for Civil Engineering (CE) GATE Civil Engineering (CE) 2027 Mock Test Series with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Dimensional & Model Analysis - 1". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Dimensional & Model Analysis - 1 - Question 1
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Euler number or pressure coefficient may be represented as (notations have their usual meanings)

Test: Dimensional & Model Analysis - 1 - Question 2
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A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 m3/s. Neglecting the viscous and surface tension effects, the required flow rate for the model is

Detailed Solution: Question 2

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Test: Dimensional & Model Analysis - 1 - Question 3
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Match List-I (Equation/Principie) with List-ll (Property) and select the correct answer using. the codes given below the lists:
List-I
A. Energy equation
B. Continuity equation
C. Moment of momentum principle
D: Impulse-momentum principle

List-ll
1. Force on a moving vane
2. Lawn sprinkler
3. Pressure at a point in a pipeline
4. Flow at two sections of a tapering pipe

Test: Dimensional & Model Analysis - 1 - Question 4
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The distorted models, used in the hydraulic studies, are those which

Detailed Solution: Question 4

Distorted - model can have vertical scale exaggeration or slope exaggeration. Therefore they are not geometrically similar. It may have either geometrical distortion, or material distortion or distortion of hydraulic quantities or a combination of these.

Test: Dimensional & Model Analysis - 1 - Question 5
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A 1: 30 scale model of a submarine is to be tested in a wind tunnel for its drag when it is operating at 15 km/h in ocean. The kinematic viscosity of air is 1.51 x 10-5 m2/s and for water 1.02 x 10-6 m2/s. What is the velocity of air in wind tunnel that should be maintained for kinematic similarity?

Detailed Solution: Question 5

The Reynold’s model law shall be applied in the case of fully submerged objects,


The Reynold’s model law ensures dynamic; kinematic and geometric similarities.

Test: Dimensional & Model Analysis - 1 - Question 6
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In model similarity, if gravitational and inertial forces are the only important forces, then what is the discharge ratio?
where Lr = ratio of length dimension.

Detailed Solution: Question 6

If gravitational and inertial forces are the only important forces, then the Froude number must be the same in the model and prototype. Thus,

But g is same for both model and prototype

Now, Discharge = Area x Velocity
⇒ Qr = Ar x Vr ⇒ Qr = Lr2 x (Lr)1/2
⇒ Qr = Lr5/2

Test: Dimensional & Model Analysis - 1 - Question 7
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Which ratio is the Reynold's Number?

Detailed Solution: Question 7

Test: Dimensional & Model Analysis - 1 - Question 8
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An orifice is discharging under a head of 1.25 m of water. A Pitot tube kept at its centre line at the vena contracta indicates a heap of 1.20 m of water. The coefficient of velocity of the orifice is

Detailed Solution: Question 8

h0 be the head of Orifice
hp be the head of Pitot tube
Velocity of emergence of water from orifice can be given by  = 

Test: Dimensional & Model Analysis - 1 - Question 9
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The geometrical similarity between model and prototype is achieved by

Detailed Solution: Question 9

Geometric similarity exists between the model and the prototype if the ratios of corresponding length dimensions in the model and the prototype are equal. Different model scales for horizontal and vertical dimension are used in a distorted model. Geometric similarity is achieved by using same model scale throughout.

Test: Dimensional & Model Analysis - 1 - Question 10
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Froude number is the ratio of inertia force to

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About this Civil Engineering (CE) Practice Test

This test contains 10 MCQs on Dimensional & Model Analysis - 1 with detailed solutions for each question. It is part of the GATE Civil Engineering (CE) 2027 Mock Test Series course on EduRev, designed to align with the current Civil Engineering (CE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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