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Past Year Questions: Fluid Statics - Mechanical Engineering MCQ


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20 Questions MCQ Test - Past Year Questions: Fluid Statics

Past Year Questions: Fluid Statics for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Past Year Questions: Fluid Statics questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Past Year Questions: Fluid Statics MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Past Year Questions: Fluid Statics below.
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Past Year Questions: Fluid Statics - Question 1
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For the stability of a floating body the

[2017 : Set-2]

Past Year Questions: Fluid Statics - Question 2
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Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2R × L at the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density ρ up to the tip of the plug.
The gravitational acceleration is g. Neglect the effect of the atmospheric pressure.

[2016 : Set-1]

The force F required to hold the plug in its position is

Detailed Solution for Past Year Questions: Fluid Statics - Question 2


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Past Year Questions: Fluid Statics - Question 3
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For a floating body, buoyant force acts at the

[2016 : Set-1]

Detailed Solution for Past Year Questions: Fluid Statics - Question 3

For floating body Buoyancy force acts through the center of buoyancy which is C.G for displaced volume.

*Answer can only contain numeric values
Past Year Questions: Fluid Statics - Question 4
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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 percent 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 density of water is 1000 kg/m3.
Acceleration due to gravity: g = 10 m/s2.

[2016 : Set-2]

Detailed Solution for Past Year Questions: Fluid Statics - Question 4

ρbxg.V = ρoil x g x 0.45 V + ρwater x g x 0.55 V
⇒ ρb = 865 kg/m3

Past Year Questions: Fluid Statics - Question 5
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For a completely submerged body with centre of gravity G and centre of buoyancy B, the condition of stability will be

[2014 : Set-1]
Past Year Questions: Fluid Statics - Question 6
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A hinged gate of length 5 m, inclined at 30° with the horizontal and with water mass on its left, is shown in figure below. Density of water is 1000 kg/m3. The minimum mass of the gate in kg per unit width (perpendicular to the plane of paper), required to keep it closed

[2013]
Detailed Solution for Past Year Questions: Fluid Statics - Question 6

Given data
l = 5 m
θ = 30°
ρ = 1000 kg/m3
h = 2.5 sin 30° = 1.25m

F = ρgAh = 1000 x 9.81 x 5 x 1.25 = 61312.5N

Past Year Questions: Fluid Statics - Question 7
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A large tank with a nozzle attached contains three immiscible, inviscid fluids as shown. Assuming that the changes in h1, h2 and h3 are negligible, the instantaneous discharge velocity is

[2012]
Detailed Solution for Past Year Questions: Fluid Statics - Question 7

Applying Bernoulli’s equation at exit, we get


We know Z1 = Z2, V1 = 0 & P2 = Patm
Hence it reduce to

But P1 = ρ1gh1 + ρ2gh2 + ρ3gh3
Upon substituting, we get

Past Year Questions: Fluid Statics - Question 8
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For the stability of a floating body, under the influence of gravity alone, which of the following is TRUE?

[2010]
Detailed Solution for Past Year Questions: Fluid Statics - Question 8

For stable floating body metacentre should be above centre of gravity.
For unstable floating body, metacentre should be below centre of gravity.
For neutral equilibrium, both metacentre and centre of gravity should coincide.

Past Year Questions: Fluid Statics - Question 9
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Oil in a hydraulic cylinder is compressed from an initial volume 2m3 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

[2007]
Detailed Solution for Past Year Questions: Fluid Statics - Question 9

Bulk modules of elasticity,
 


K = 2000 MPa

Past Year Questions: Fluid Statics - Question 10
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The pressure gauges G1 and G2 installed on the system show pressure of ρG1 = 5.00 bar and ρG2 = 1.00 bar. The value of unknown pressure P is [Atmospheric pressure = 1.01 bar]

[2004]
Detailed Solution for Past Year Questions: Fluid Statics - Question 10



P = 5 + 1 + 1.01 = 7.01 bar

Past Year Questions: Fluid Statics - Question 11
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A closed cylinder having a radius R and height H is filled with oil of density ρ. If the cylinder is rotated about its axis at an angular velocity of ω, the thrust at the bottom of the cylinder is

[2004]
Detailed Solution for Past Year Questions: Fluid Statics - Question 11

We know that

 [∵ v = ω × r]

Area of circular ring = 2πrdr
Force on elementry ring
= Intensity of pressure × Area of ring


∴ Total force on the top of the cylinder


Thrust at the bottom of the cylinder
= Weight of water in cylinder + Total force on the top of cylinder

Past Year Questions: Fluid Statics - Question 12
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A cylindrical body of cross-sectional area A, height H and density ρs, is immersed to a depth h in a liquid of density ρ, and tied to the bottom with a string. The tension in the string is ____.

[2003]
Detailed Solution for Past Year Questions: Fluid Statics - Question 12

Let T = Tension in string
T1 = Mg = Buoyancy force
T + ρsH.A.g = ρ.h A.g
∴ T = g.A(ρh - ρs.H)

Past Year Questions: Fluid Statics - Question 13
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A static fluid can have

[2001]
Past Year Questions: Fluid Statics - Question 14
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The horizontal and vertical hydrostatic forces Fx and Fy on the semicircular gate, having a width w into the plane of figure, are

[2001]
Detailed Solution for Past Year Questions: Fluid Statics - Question 14

Fx = 2ρghrw

Past Year Questions: Fluid Statics - Question 15
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In given figure, 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

[2000]
Detailed Solution for Past Year Questions: Fluid Statics - Question 15

PA = 50 cm Hg vacuum = pH

Past Year Questions: Fluid Statics - Question 16
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Refer to figure, the absolute pressure of gas A in the bulb is

[1997]
Detailed Solution for Past Year Questions: Fluid Statics - Question 16

Patm = 760 mm Hg

Let PA be the absolute pressure at 'A'
Pressure at D = Pressure at E
or PA + PCD = Patm + PAF + PFE


PA= 771.2 mm Hg

Past Year Questions: Fluid Statics - Question 17
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A mercury manometer is used to measure the static pressure at a point in a water pipe as shown in figure. The level difference of mercury in the two limbs is 10 mm. The gauge pressure at that point is

[1996]
Detailed Solution for Past Year Questions: Fluid Statics - Question 17

Gauge pressure = (δm - δw)gh
= (13600 - 1000) × 9.81 × 10 × 10-3 = 1236 Pa

Past Year Questions: Fluid Statics - Question 18
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The force F needed to support the liquid of density ρ and the vessel on top (fig.) is

[1995]
Detailed Solution for Past Year Questions: Fluid Statics - Question 18

Height of water column over plate is H.
F = P × A = ρgHA

Past Year Questions: Fluid Statics - Question 19
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The cross-sectional area of one limb of a U-tube manometer (figure shown below) is made 500 times larger than the other, so that the pressure difference between the two limbs can be determined by measuring h on one limb of the manometer. The percentage error involved is

[1990]
Detailed Solution for Past Year Questions: Fluid Statics - Question 19

Fall in larger limb = Rise in smaller limb
A1 Δh = A2h

Past Year Questions: Fluid Statics - Question 20
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A circular plate 1 m in diameter is submerged vertically in water such its upper edge is 8 m below the free surface of water. The total hydrostatic pressure force on one side of plate is

[1988]
Detailed Solution for Past Year Questions: Fluid Statics - Question 20


Total hydrostatic pressure force, F = ρghA
F = 1000 × 9.81 × 8.5 × 0.785 = 65458 N
or
F = 65.45 KN

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