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Introduction to Fluid Mechanics - GATE ME Free MCQ Test with solutions


MCQ Practice Test & Solutions: Test: Introduction to Fluid Mechanics (15 Questions)

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Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 25 minutes
  • - Number of Questions: 15

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Test: Introduction to Fluid Mechanics - Question 1

The value of the surface tension of an ideal fluid is

Detailed Solution: Question 1

Explanation: Ideal fluids haze zero surface tension but real fluids have some finite value of surface tension.

Test: Introduction to Fluid Mechanics - Question 2

 Which one is in a state of failure?

Detailed Solution: Question 2

Explanation: a fluid is always in a state of plastic deformation or failure because it can't withstand any shear stress

Test: Introduction to Fluid Mechanics - Question 3

The value of the viscosity of an ideal fluid is

Detailed Solution: Question 3

Correct option is A.
A fluid that has no resistance to shear stress between its layers is known as an ideal fluid. Hence ideal fluid  has zero viscosity.

Test: Introduction to Fluid Mechanics - Question 4

 A small shear force is applied on an element and then removed. If the element regains it’s original position, what kind of an element can it be?

Detailed Solution: Question 4

Explanation: Fluids (liquids and gases) cannot resist even a small shear force and gets permanently deformed. Hence, the element must be a solid element.

Test: Introduction to Fluid Mechanics - Question 5

 In which type of matter, one won’t find a free surface?

Detailed Solution: Question 5

Explanation: Solid molecules have a definite shape due to large inter-molecular forces. In liquids, molecules are free to move inside the whole mass but rarely escape from itself. Thus, liquids can form free surfaces under the effect of gravity. But, in case of gases, molecules tend to escape due to low forces of attraction. Thus, gases won’t form any free surface.

Test: Introduction to Fluid Mechanics - Question 6

 If a person studies about a fluid which is at rest, what will you call his domain of study?

Detailed Solution: Question 6

Explanation: Fluid Mechanics deals with the study of fluid at rest or in motion with or without the consideration of forces, Fluid Statics is the study of fluid at rest, Fluid Kinematics is the study of fluid in motion without consideration of forces and Fluid Dynamics is the study of fluid in motion considering the application forces.

Test: Introduction to Fluid Mechanics - Question 7

What is the compressibility of an ideal fluid assumed to be?

Detailed Solution: Question 7

Ideal fluids are incompressible which means they will have zero compressibility.

Test: Introduction to Fluid Mechanics - Question 8

The value of the Bulk Modulus of an ideal fluid is

Detailed Solution: Question 8

Explanation: Bulk modulus k is the reciprocal of compressibility fi.
k = 1fi
Ideal fluids are incompressible which means fi = 0. Thus, k will be infinity.

Test: Introduction to Fluid Mechanics - Question 9

When subjected to shear force, a fluid :

Detailed Solution: Question 9

A fluid is defined as a substance that deforms continuously whilst acted upon by any forcetangential to the area on which it acts. Such a force is termedashear force, and theratio of the shear force to the area on which it acts is known astheshear stress

Test: Introduction to Fluid Mechanics - Question 10

Shear stress in static fluid is

Detailed Solution: Question 10

In a static fluid, shear forces and stresses are absent because the fluid is at rest with no velocity gradients. Thus, shear stress is always zero.

*Answer can only contain numeric values
Test: Introduction to Fluid Mechanics - Question 11

The difference in pressure (in N/m2) across an air bubble of diameter 0.001 m immersed in water (surface tension = 0.072 N/m) is _____


Detailed Solution: Question 11

Pressure inside a water drop (liquid droplet):
A liquid droplet has only one curved surface, so the pressure difference inside it due to surface tension is given by:

ΔP=4T / D

Where:

  • ΔP = excess pressure inside the droplet

  • T = surface tension

  • D = diameter of the droplet

Given:

  • Diameter D = 0.001 m

  • Surface tension T = 0.072 N/m

Note: 

Pressure inside a soap bubble (2 surfaces):
A soap bubble has both an inner and an outer surface, so:

ΔP = 8T/D

 Pressure inside a liquid jet (only one radius of curvature):

ΔP = 2T/D

Test: Introduction to Fluid Mechanics - Question 12

A mercury manometer is used to measure the static pressure at a point in a water pipe shown in figure. The level difference of mercury in the two limbs is 10 mm. The gauge pressure at that point is

Detailed Solution: Question 12

Let pressure at that point is ‘p’ (absolute)
The pressure above the (1) – (1) will be equal. So

P (gauge )=1236.06 Pa

Therefore Correct Answer is (a)

*Answer can only contain numeric values
Test: Introduction to Fluid Mechanics - Question 13

The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that 45% of its volume is in oil while the rest is in water. The density of the body is ______ kg/m3.

The specific gravity of oil is 0.7 and the density of water is 1000 kg/m3. Acceleration due to gravity g = 10 m/s2

Specific gravity of oil = 0.7
Density of water = 1000 kg/m3


Detailed Solution: Question 13

Let the density of the body be 

Hence the correct answer is 865 kg/m3.

Test: Introduction to Fluid Mechanics - Question 14

Oil in a hydraulic cylinder is compressed from an initial volume 2 m3 to 1.96 m3. If the pressure of oil in the cylinder changes from 40 MPa to 80 MPa during compression, the bulk modulus of elasticity of oil is _____

Detailed Solution: Question 14

Bulk modulus of elasticity of oil

Hence, the correct option is (b).

Test: Introduction to Fluid Mechanics - Question 15

In given figure below, if the pressure of gas in bulb A is 50 cm Hg (vacuum) and Patm = 76 cm Hg, then height of column H is equal to

 

Detailed Solution: Question 15

ΔP= PatmPgas = 76cm Hg 50cm Hg=26cm Hg.

So the correct answer is 26 cm

Hence Correct Answer is Option (b)

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