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Test: Dimensional & Model Analysis - 2 - Civil Engineering (CE) MCQ


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10 Questions MCQ Test - Test: Dimensional & Model Analysis - 2

Test: Dimensional & Model Analysis - 2 for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Test: Dimensional & Model Analysis - 2 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Dimensional & Model Analysis - 2 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Dimensional & Model Analysis - 2 below.
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Test: Dimensional & Model Analysis - 2 - Question 1

Apart from inertia force, which of the following forces is most important in motion of submarines underwater?

Test: Dimensional & Model Analysis - 2 - Question 2

Assuming that the thrust T of a propeller depends on the diameter D, speed of advance V, angular velocity ω, dynamic viscosity μ and mass density ρ, which of the following ’non -dimensional parameters can be derived ‘by dimensional analysis?

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 2

Number of variables = 6
Number of dimensions = 3
Dimensionless parameters = 6 - 3 = 3.
Take D, V, and ρ as repeating variables.
VD/μ will not be dimensionless- number as its dimension is [M-1L3].

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Test: Dimensional & Model Analysis - 2 - Question 3

Which of the following could be a π-parameter of the function f(F, V, r, m, L) = 0 when V, r and L are taken as repeating variables?

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 3

A π parameter is constant and has zero dimensional unit i.e. M°L°T°.

Test: Dimensional & Model Analysis - 2 - Question 4

Match List-I (Flow problem under study) with List-ll (Model law) and select the correct answer using the codes given below the lists:
List-I
1. Rise of gas bubbles in liquid
2. Flow of gas in a pipe
3. Flow over a spillway dam
4. Flight of supersonic jet

List-II
A. Euler number
B. Froude number
C. Mach number
D. Reynold’s number
E. Weber’s number 

Test: Dimensional & Model Analysis - 2 - Question 5

A ship’s model of scale 1 : 100 had a wave resistance of 1 kg at its design speed. The corresponding wave resistance in prototype will be

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 5


Froude model is applicable here because of influence of gravity force using froude model law,



or, Fp = 1000000 kg

Test: Dimensional & Model Analysis - 2 - Question 6

If the velocity, bulk modulus of elasticity and the mass density of a fluid are denoted by U, K and ρ respectively, then the Mach number is given by

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 6

Mach number U/C = 

Test: Dimensional & Model Analysis - 2 - Question 7

Euler’s equation of motion

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 7

max = (fg)+ (fp)x + (fn)x + (ft)x
→ Reynold’s equation
fg → Due to gravity
fp → Due to pressure
fn → Due to viscosity
ft → Due to turbulence
max = (fg)x + (fp)x → Euler’s equation
(Neglected viscous force vand force due to turbulence)

Test: Dimensional & Model Analysis - 2 - Question 8

A model of reservoir is emptied in 10 minutes. If the model scale is 1:25, the time taken by the prototype to empty itself, would be

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 8


∴ tp = 5tm = 5 x 10 = 50 min

Test: Dimensional & Model Analysis - 2 - Question 9

When Mach number is more than 6, the flow is called

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 9


when the Mach number in flow region is slightly less to slightly greater than 1, flow is transonic flow.

Test: Dimensional & Model Analysis - 2 - Question 10

A harbour model has a horizontal scale of 1/150 and a vertical scale of 1/60. The interval between successive high tides in the model will be nearly

Detailed Solution for Test: Dimensional & Model Analysis - 2 - Question 10


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