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Test: Dimensional homogeneity - Civil Engineering (CE) MCQ


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10 Questions MCQ Test - Test: Dimensional homogeneity

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

How many fundamental quantities are there?

Detailed Solution for Test: Dimensional homogeneity - Question 1

These are M, L and T. M is mass, L is length and T is time.

Test: Dimensional homogeneity - Question 2

How many Newton’s are there in one kg?

Detailed Solution for Test: Dimensional homogeneity - Question 2

1 kg = 9.807 N. Newton is the unit of force and kg is the unit of mass.

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Test: Dimensional homogeneity - Question 3

The convective film coefficient in k cal/m2 hr degree can be converted to J/m2 s degree by multiplying it with a factor

Detailed Solution for Test: Dimensional homogeneity - Question 3

Both k cal/m2 hr degree and J/m2 s are the units of convective film coefficient.

Test: Dimensional homogeneity - Question 4

The equation of friction loss in a pipe of length l and diameter d through which fluid flows with velocity v is

Detailed Solution for Test: Dimensional homogeneity - Question 4

Here f is any constant with no dimensions whatsoever.

Test: Dimensional homogeneity - Question 5

What is the time period of oscillation of a simple pendulum of length L and mass m?

Detailed Solution for Test: Dimensional homogeneity - Question 5

The time period of a simple pendulum means the time it takes for one complete revolution.

Test: Dimensional homogeneity - Question 6

How many Joule are there in 1 k cal?

Detailed Solution for Test: Dimensional homogeneity - Question 6

1 k cal = 4186 J. Joule is the unit of work done.

Test: Dimensional homogeneity - Question 7

The pressure in kg/cm2 can be converted to N/m2 by multiplying it with a factor

Detailed Solution for Test: Dimensional homogeneity - Question 7

Both kg/cm2 and N/m2 are the units of pressure.

Test: Dimensional homogeneity - Question 8

Bernoulli’s equation for fluid flow along a stream line is given as

Detailed Solution for Test: Dimensional homogeneity - Question 8

This is the Bernoulli’s equation and is dimensionally homogenous.

Test: Dimensional homogeneity - Question 9

The principle of dimensional homogeneity serves the following useful concepts
(i) It helps to check whether an equation of any physical phenomenon is dimensionally homogenous or not
(ii) It helps to determine the dimensions of a physical quantity
(iii) It helps to convert the units from one system to another
Identify the correct statements

Detailed Solution for Test: Dimensional homogeneity - Question 9

It serves all the aspects.

Test: Dimensional homogeneity - Question 10

How is dimensional homogeneity related with fundamental units of measurements?

Detailed Solution for Test: Dimensional homogeneity - Question 10

This implies that the length dimension can be added to subtract from only a length dimension.

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