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Dimensional homogeneity - Free MCQ Practice Test with solutions, GATE Civil


MCQ Practice Test & Solutions: Test: Dimensional homogeneity (10 Questions)

You can prepare effectively for Civil Engineering (CE) Irrigation Engineering with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Dimensional homogeneity". 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 homogeneity - Question 1

How many fundamental quantities are there?

Detailed Solution: 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: Question 2

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

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: 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: 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: 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: 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: 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: 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: Question 9

It serves all the aspects.

Test: Dimensional homogeneity - Question 10

How is dimensional homogeneity related with fundamental units of measurements?

Detailed Solution: Question 10

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

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