
Hydrodynamic and thermal boundary layer thickness are equal for Prandtl number:
A)
Equal to zero done
clear
B)
Less than 1 done
clear
C)
Equal to 1 done
clear
D)
More than 1 done
clear
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In a rotameter as the flow rate increases, the float:
A)
Rotates at higher speed done
clear
B)
Rotates at lower speed done
clear
C)
Rises in the tube done
clear
D)
Drops in the tube done
clear
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A twodimensional fluid flow is described by the velocity components \[u=5{{x}^{3}},\] \[v=\,15{{x}^{2}}\,y.\] The stream function at point will be:
A)
\[2\,{{\text{m}}^{\text{2}}}\text{/s}\] done
clear
B)
\[2\,{{\text{m}}^{3}}\text{/s}\] done
clear
C)
\[10\,{{\text{m}}^{3}}\text{/s}\] done
clear
D)
\[20\,{{\text{m}}^{3}}\text{/s}\] done
clear
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Match the following:
ListI  ListII 
A.  Circular sewer maximum discharge  1.  Y= 0.938 D 
B.  Maximum velocity in circular sewer  2.  Y=0.81 D 
C.  Triangular Channel  3.  \[{{y}_{c}}=\frac{4}{5}\,E,\] \[\frac{v_{c}^{2}}{2g}=\frac{{{y}_{c}}}{4}\] 
D.  Bourdon gauge  4.  \[{{y}_{c}}=\frac{2}{3}\,E,\] \[\frac{v_{c}^{2}}{2g}=\frac{{{y}_{c}}}{4}\] 
Codes:
A)
A\[\to \]4, B\[\to \]3, C\[\to \]2, D\[\to \]1 done
clear
B)
A\[\to \]3, B\[\to \]4, C\[\to \]1, D\[\to \]2 done
clear
C)
A\[\to \]2, B\[\to \]3, C\[\to \]1, D\[\to \]4 done
clear
D)
A\[\to \]1, B\[\to \]4, C\[\to \]2, D\[\to \]3 done
clear
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Aging of pipe implies:
A)
Pipe becoming smoother with time done
clear
B)
Relative roughness decreasing periodically done
clear
C)
Increase in absolute roughness periodically with time done
clear
D)
Increase in absolute roughness linearly with time done
clear
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A nozzle has velocity head at outlet of 10m. If it is kept vertical the height reached by the stream is:
A)
100 m done
clear
B)
10 m done
clear
C)
\[\sqrt{10}\,m\] done
clear
D)
\[\frac{1}{\sqrt{10}}\] done
clear
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Laminar sublayer may develop during flow over a flatplate. It exists in:
A)
Laminar zone done
clear
B)
Transition zone done
clear
C)
Turbulent zone done
clear
D)
Laminar and transition zone done
clear
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The velocity components for a two dimensional incompressible flow of a fluid are \[u=x4y.\] and \[v=y4x.\] It can be concluded that:
A)
The flow does not satisfy the continuity equation done
clear
B)
The flow is rotational done
clear
C)
The flow is irrotational done
clear
D)
None of the above done
clear
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A \[\frac{1}{25}\] model of a ship it to be tested for estimating the wave drag. If the speed of the prototype is 1.0 m/s, then the speed at which the model must be tested is:
A)
0.04 m/s done
clear
B)
0.2 m/s done
clear
C)
5.0 m/s done
clear
D)
25.0 m/s done
clear
View Solution play_arrow

In which of the following cases frictional drag is predominating?
1. Tennis ball 
2. Parachute 
3. Arrow 
4. Cyclist 
A)
1 and 2 only done
clear
B)
2 and 3 done
clear
C)
2, 3 and 4 only done
clear
D)
1, 2 and 3 only done
clear
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Match the following:
ListI  ListII 
A.  Wave drage of a ship  1.  Cavitation in pumps and turbines 
B.  Pressure coefficient  2.  \[\rho \,r.r\,{{L}^{3}}r\] 
C.  Thoma numbers  3.  Re = 0.1 
D.  Stokes Law  4.  \[\frac{\Delta \,p}{\rho \,{{\text{V}}^{\text{2}}}\text{/}\,\text{2}}\] 
Codes:
A)
A\[\to \]1, B\[\to \]2, C\[\to \]4, D\[\to \]3 done
clear
B)
A\[\to \]4, B\[\to \]3, C\[\to \]1, D\[\to \]2 done
clear
C)
A\[\to \]1, B\[\to \]3, C\[\to \]4, D\[\to \]3 done
clear
D)
A\[\to \]2, B\[\to \]4, C\[\to \]1, D\[\to \]2 done
clear
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The terminal velocity of small sphere falling in a viscous fluid is:
A)
Proportional to the diameter of the sphere done
clear
B)
Inversely proportional to the viscosity of the fluid done
clear
C)
Inversely proportional to the diameter of the sphere done
clear
D)
Proportional to the density of the fluid. done
clear
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Which of the following statement is true?
A)
For an ideal fluid \[\mu =0.\] \[\rho =0\] constant, K =0 done
clear
B)
A floating body is in stable, unstable or neutral equilibrium according to as the metacentric height is zero, positive or negative. done
clear
C)
The exact analysis of viscous flow problems can be made by Euler's equation done
clear
D)
The most economical diameter of a pipe is the one for which the annual fixed cost and annual power cost (to overcome friction) are minimum. done
clear
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Which of the following statements is false?
A)
The lift force (per unit length) on a body depends on the density of the fluid done
clear
B)
For laminar flow through a pipe, the loss of head is directly proportional to velocity as well as viscosity of fluid done
clear
C)
A hydraulic jump occurs when a supercritical flow comes across sub critical flow done
clear
D)
At the stall point for the airfoil, the lift is minimum and the drag decreases sharply beyond it. done
clear
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Which of the following is not a dimensionless group?
A)
\[\frac{\Delta \,p}{\rho \,{{N}^{2}}{{D}^{2}}}\] done
clear
B)
\[\frac{g\,H}{{{N}^{2}}\,{{D}^{2}}}\] done
clear
C)
\[\frac{\rho \,\omega \,{{D}^{2}}}{\mu }\] done
clear
D)
\[\frac{\Delta \,p}{\rho \,{{V}^{3}}}\] done
clear
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For a real fluid moving with uniform velocity, the pressure:
A)
Depends upon depth and orientation done
clear
B)
is independent of depth but depends upon orientation done
clear
C)
is independent of orientation but depends upon depth done
clear
D)
is independent of both depth and orientation done
clear
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Consider the following assumptions:
1. Steady flow 
2. In viscid flow 
3. Flow along a stream line 
4. Conservative force field 
For an ideal fluid, which of the statements are correct?
A)
1 and 2 done
clear
B)
1, 2 and 4 done
clear
C)
2, 3 and 4 done
clear
D)
1, 3 and 4 done
clear
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The vertical component of force on a curved surface submerged in a static liquid is to the:
A)
Mass of the liquid above the curved surface done
clear
B)
Weight of the liquid above curved surface done
clear
C)
Product of pressure at C.G. multiplied by the area of the curved surface done
clear
D)
Product of pressure at C.G. multiplied by the projected area of the curved surface done
clear
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A pipe friction test shows that, over the range of speeds used for the test, the nondimensional friction factor \['f'\] varies inversely with Reynolds Number. From this, one can conclude that the:
A)
Fluid must be compressible done
clear
B)
Fluid must be ideal done
clear
C)
Pipe must be smooth done
clear
D)
Flow must be laminar done
clear
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Chezy's formula is given by (m, i, C and V are, respectively, the hydraulic mean depth, slope of the channel, Chezy's constant and average velocity of flow)
A)
\[V=i\sqrt{mC}\] done
clear
B)
\[V=C\sqrt{i\,m}\] done
clear
C)
\[V=m\sqrt{i\,C}\] done
clear
D)
\[V=\sqrt{m\,i\,C}\] done
clear
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The standard sea level atmospheric pressure is equivalent to:
A)
10.2 m of freshwater of \[\rho =998\,\,\text{kg/}{{\text{m}}^{\text{3}}}\] done
clear
B)
10.2 m of salt water \[\rho =1025\,\,\text{kg/}{{\text{m}}^{\text{3}}}\] done
clear
C)
25.5 m of kerosene of \[\rho =800\,\,\text{kg/}{{\text{m}}^{\text{3}}}\] done
clear
D)
6.4 m of carbon tetrachloride of \[\rho =1590\,\,\text{kg/}{{\text{m}}^{\text{3}}}\] done
clear
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Which one of the following represents equilibrium of a static fluid? (Symbols have the usual meaning)
A)
\[\frac{dp}{dz}=\frac{\rho }{g}\] done
clear
B)
\[\frac{dp}{g}\,=\,\,\frac{dz}{\rho }\] done
clear
C)
\[\rho \,dp=\frac{dz}{g}\] done
clear
D)
\[\frac{dp}{\rho }=g\,dz\] done
clear
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A tank with four equal vertical faces of width/ and depth h is filled up with a liquid. If the force on any vertical side is equal to the force at the bottom, then value of \[\frac{h}{l}\] will be:
A)
2 done
clear
B)
\[\sqrt{2}\] done
clear
C)
1 done
clear
D)
\[\frac{1}{2}\] done
clear
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Match. ListI (Physical properties of fluid) with ListII (Dimension/Definitions) and select the correct answer using codes given below the Lists:
ListI  ListII 
A.  Absolute viscosity  1.  \[\frac{du}{dy}\] is constant 
B.  Kinematic viscosity  2.  Newton per metre 
C.  Newtonian fluid  3.  Poise 
D.  Surface tension  4.  \[\frac{Stress}{Strain}\] constant 
  5.  Strokes 
Codes:
A)
A\[\to \]5, B\[\to \]3, C\[\to \]2, D\[\to \]1 done
clear
B)
A\[\to \]3, B\[\to \]5, C\[\to \]2, D\[\to \]4 done
clear
C)
A\[\to \]5, B\[\to \]3, C\[\to \]4, D\[\to \]2 done
clear
D)
A\[\to \]3, B\[\to \]5, C\[\to \]1, D\[\to \]2 done
clear
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If the governing equation for a flow field is given by \[{{\nabla }^{2}}\phi \,=\,0\] and the velocity is given by \[\overrightarrow{V}\,=\,\nabla \phi ,\] the:
A)
\[\nabla \times \overrightarrow{\nabla }=0\] done
clear
B)
\[\nabla \times \overrightarrow{V}=1\] done
clear
C)
\[{{\nabla }^{2}}\times \overrightarrow{\nabla }=1\] done
clear
D)
\[(\overrightarrow{\nabla }.\nabla )\,\overrightarrow{\nabla }=\frac{\partial \,\overrightarrow{\nabla }}{\partial \,t}\] done
clear
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Which one of the following equations represents the continuity equation for steady compressible fluid flow?
A)
\[\nabla .\rho \,\overline{V}+\frac{\partial \rho }{\partial \,t}=0\] done
clear
B)
\[\nabla .\rho \,\overline{V}+\frac{\partial \rho }{\partial \,t}=0\] done
clear
C)
\[\nabla .\overline{V}=0\] done
clear
D)
\[\nabla .\rho \,\overline{V}=0\] done
clear
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A liquid of specific gravity 0.82 flows with a velocity 4.4 m/s. Its velocity head is:
A)
0.82 m done
clear
B)
4.43 m done
clear
C)
1 m done
clear
D)
19.6 m done
clear
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Match ListI with ListII and select the correct answer using the codes given below the Lists:
ListI  ListII 
A.  Orifice meter  1.  Measurement of flow in channel 
B.  Broad creasted weir  2.  Measurement of velocity in a pipe/ channel 
C.  Pitol tube  3.  Measurement of flow in a pipe of may inclination 
D.  Rotameter  4.  Measurement of upward flow in a vertical pipe 
Codes:
A)
A\[\to \]3, B\[\to \]1, C\[\to \]4, D\[\to \]2 done
clear
B)
A\[\to \]1, B\[\to \]3, C\[\to \]2, D\[\to \]4 done
clear
C)
A\[\to \]3, B\[\to \]1, C\[\to \]2, D\[\to \]4 done
clear
D)
A\[\to \]1, B\[\to \]3, C\[\to \]4, D\[\to \]2 done
clear
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Decrease in temperature, in general, results in:
A)
An increase in viscosities of both gases and liquids done
clear
B)
A decrease in the viscosity of liquids and gases done
clear
C)
An increase in the viscosity of liquids and an decrease in that of gases done
clear
D)
A decrease in the viscosity of liquids and an increase in that of gases done
clear
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Consider the following statements:
(1) Streak line indicates instantaneous position of particles of fluid passing through a point. 
(2) Streamlines are paths traced by a fluid particle with constant velocity. 
(3) Fluid particles cornot cross streamlines irrespective of the type of flow. 
(4) Streamlines converge as the fluid is accelerated, and diverge when retarded. 
Which of these statements are correct?
A)
1 and 4 done
clear
B)
1, 3 and 4 done
clear
C)
1, 2, and 4 done
clear
D)
2 and 3 done
clear
View Solution play_arrow

If the diameter of a capillary tube is doubled, the capillaryrise will become:
A)
\[\sqrt{2}\] Times less done
clear
B)
Double done
clear
C)
Half done
clear
D)
\[\sqrt{2}\]Times more done
clear
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A stepped pipeline with four different crosssections discharges water at the rate of 2 litres per second. Match ListI (Areas of pipe is sq. cm) with ListII (velocities of water in cm/s) and select the correct answer using the codes given below the list:
ListI  ListII 
A.  500  1.  4 
B.  100  2.  5 
C.  400  3.  10 
D.  200  4.  15 
  5.  20 
Codes:
A)
A\[\to \]5, B\[\to \]1, C\[\to \]2, D\[\to \]3 done
clear
B)
A\[\to \]1, B\[\to \]4, C\[\to \]2, D\[\to \]3 done
clear
C)
A\[\to \]1, B\[\to \]4, C\[\to \]3, D\[\to \]4 done
clear
D)
A\[\to \]3, B\[\to \]2, C\[\to \]5, D\[\to \]1 done
clear
View Solution play_arrow

Fluid flow rate Q, can be measured easily with the help of a venturi tube, in which the difference of two pressures, \[\Delta \,P,\] measured at an upstream point and at the smallest crosssection of the tube, is used. If a relation \[\Delta \,P\propto {{Q}^{n}}\] exists, then n is equal to:
A)
\[\frac{1}{3}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
1 done
clear
D)
2 done
clear
View Solution play_arrow

The drag force D on a certain object in a certain flow is a function of the coefficient of viscosity p, the flow speed, V and the body dimension L (for geometrically similar objects); then D is proportional to:
A)
\[L\,\mu \,V\] done
clear
B)
\[\frac{{{\mu }^{2}}{{V}^{2}}}{{{L}^{2}}}\] done
clear
C)
\[{{\mu }^{2}}{{V}^{2}}{{L}^{2}}\] done
clear
D)
\[\frac{\mu \,L}{V}\] done
clear
View Solution play_arrow

A metallic piece weighs 80 N in air and 60 N in water. The relative density of the metallic piece is about:
A)
8 done
clear
B)
6 done
clear
C)
4 done
clear
D)
2 done
clear
View Solution play_arrow

Match ListI (Nature of equilibrium of floating body) with ListII (Conditions for equilibrium) and select the correct answer using the codes given below the lists:
ListI (Nature of equilibrium of floating body)  ListII (Conditions for equilibrium) 
A.  Unstable equilibrium  1.  \[\overline{MG}\,\,=\,\,0\] 
B.  Netutral equilibrium  2.  M is above G M is below G 
C.  Stable equilibrium  4.  \[\overline{BG}\,\,=\,\,0\] 
Where M, G and B are metacentre, Centre of gravity and Centre of buoyancy respectively. Codes:
A)
A\[\to \]1, B\[\to \]3, C\[\to \]2 done
clear
B)
A\[\to \]3, B\[\to \]1, C\[\to \]2 done
clear
C)
A\[\to \]1, B\[\to \]3, C\[\to \]4 done
clear
D)
A\[\to \]4, B\[\to \]2, C\[\to \]3 done
clear
View Solution play_arrow

The velocity potential function in a two dimensional flow fluid is given by \[\phi ={{x}^{2}}{{y}^{2}}.\] The magnitude of velocity at the point (1, 1) as:
A)
2 done
clear
B)
4 done
clear
C)
\[2\,\sqrt{2}\] done
clear
D)
\[4\,\sqrt{2}\] done
clear
View Solution play_arrow

The relations between shear stress \[\left( \tau \right)\] and velocity gradient for ideal fluids, Newtonian fluids and nonNewtonian fluids are given below. Select the correct combination:
A)
\[\tau =0\,;\] \[\tau =\mu \,{{\left( \frac{du}{dy} \right)}^{2}};\] \[\tau =\mu \,{{\left( \frac{du}{dv} \right)}^{3}}\] done
clear
B)
\[\tau =0\,;\] \[\tau =\mu \,{{\left( \frac{du}{dy} \right)}^{2}}\,;\] \[\tau =\mu \,{{\left( \frac{du}{dy} \right)}^{2}}\] done
clear
C)
\[\tau =\mu \,\left( \frac{du}{dy} \right)\,\,;\] \[\tau =\mu \,{{\left( \frac{du}{dy} \right)}^{2}};\] \[\tau =\mu \,{{\left( \frac{du}{dy} \right)}^{3}}\] done
clear
D)
\[\tau =\mu \,\left( \frac{du}{dy} \right)\,;\] \[\tau =\mu \,{{\left( \frac{du}{dy} \right)}^{2}};\] \[\tau =0\] done
clear
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Consider the following statements:
1. For stream function to exist, the flow should be irrotational. 
2. Potential functions are possible even though continuity is not satisfied. 
3. Stremlines diverge where the flow is accelerated. 
4. Bernoulli's equation will be satisfied for flow across a crosssection. 
Which of the above statements is/are correct?
A)
1, 2, 3 and 4 done
clear
B)
1, 3 and 4 done
clear
C)
3 and 4 done
clear
D)
2 only done
clear
View Solution play_arrow

Match ListI (Device) with ListII (Use) and select the correct answer using the codes given below the lists:
ListI (Device)  ListII (Use) 
A.  Picot tube  1.  Boundary shear stress 
B.  Preston tube  2.  Turbuleny velocity fluctuations 
C.  Flow Nozzle  3.  The total head 
D.  Hot wire anemometer  4.  Flow rate 
Codes:
A)
A\[\to \]4, B\[\to \]2, C\[\to \]3, D\[\to \]1 done
clear
B)
A\[\to \]3, B\[\to \]1, C\[\to \]4, D\[\to \]2 done
clear
C)
A\[\to \]4, B\[\to \]1, C\[\to \]3, D\[\to \]2 done
clear
D)
A\[\to \]3, B\[\to \]2, C\[\to \]4, D\[\to \]1 done
clear
View Solution play_arrow

Flow separation is caused by:
A)
Thinning of boundary layer thickness to zero done
clear
B)
A negative pressure gradient done
clear
C)
A positive pressure gradient done
clear
D)
Reduction of pressure to local vapour pressure done
clear
View Solution play_arrow

A laminar flow is taking place in a pipe. Match ListI (Term) with ListII (Expression) and select the correct answer using the codes given below the lists:
ListI (Term)  ListII (Expression) 
A.  Discharge, Q  1.  \[\frac{16\mu }{\rho \,VD}\] 
B.  Pressure drop, \[\frac{\Delta P}{L}\]  2.  \[\frac{\pi \,{{d}^{3}}\Delta p}{128\,\mu L}\] 
C.  Friction factor, \[f\]  3.  \[\frac{32\,\mu \,V}{{{D}^{2}}}\] 
  4.  \[\frac{\pi {{d}^{4}}\Delta p}{128\,\mu L}\] 
Codes:
A)
A\[\to \]2, B\[\to \]3, C\[\to \]4 done
clear
B)
A\[\to \]4, B\[\to \]3, C\[\to \]1 done
clear
C)
A\[\to \]4, B\[\to \]1, C\[\to \]3 done
clear
D)
A\[\to \]1, B\[\to \]4, C\[\to \]2 done
clear
View Solution play_arrow

The magnus effect is defined as:
A)
The generation of lift per unit drage force done
clear
B)
The circulation induced in an aircraft wing done
clear
C)
The separation of boundary layer near the trailing edge of a slender body done
clear
D)
The generation of lift on a rotating cylinder in a uniform flow. done
clear
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A \[\frac{1}{25}\] model of a ship is to be tested for estimating the wave drag. If the speed of the ship is 1 m/s, then the speed at which the model must be tested is:
A)
0.04 m/s done
clear
B)
0.2 m/s done
clear
C)
5.0 m/s done
clear
D)
25.0 m/s done
clear
View Solution play_arrow

Consider the following statements for a two dimensional potential flow:
1. Laplace equation for stream function must be satisfied. 
2. Laplace equation for velocity potential must be satisfied. 
3. Stremlines and equipotential lines are mutually perpendicular. 
4. Streamlines can intersect each other in very high speed flows. 
Which of the above statement s are correct?
A)
1 and 4 done
clear
B)
2 and 4 done
clear
C)
1, 2 and 3 done
clear
D)
2, 3 and 4 done
clear
View Solution play_arrow

Which of the following equations are forms of continuity equations?
(\[\overrightarrow{V}\]is the velocity and \[\forall \] is volume) 
1. \[{{A}_{1}}{{\overrightarrow{V}}_{1}}={{A}_{2}}\overrightarrow{{{V}_{2}}}\] 
2. \[1\frac{du}{\partial x}+\frac{dv}{\partial y}=0\] 
3. \[\int\limits_{S}{\rho \overrightarrow{V}\,.\,dA+\int\limits_{\forall }{\rho \,d\forall =0}}\] 
4. \[\frac{1}{r}\,\,\frac{\partial \,\left( r{{v}_{r}} \right)}{\partial r}+\frac{\partial {{v}_{z}}}{\partial z}=0\] 
Select the correct answer using the codes below: 
Codes:
A)
1, 2, 3 and 4 done
clear
B)
1 and 2 done
clear
C)
3 and 4 done
clear
D)
2, 3 and 4 done
clear
View Solution play_arrow

A solid P floats with half of its volume immersed in water and solid Q floats with twothirds of the volume immersed in water. The densities of solider P and Q are in ratio:
A)
1 : 2 done
clear
B)
1 : 3 done
clear
C)
2 : 3 done
clear
D)
3 : 4 done
clear
View Solution play_arrow

The Bernoulli's equation refers to conservation of:
A)
Mass done
clear
B)
linear momentum done
clear
C)
Angular momentum done
clear
D)
energy done
clear
View Solution play_arrow

The continuity equation in a differential form is:
A)
\[\frac{dA}{A}+\frac{dV}{V}+\frac{dp}{\rho }=\text{constant}\] done
clear
B)
\[\frac{A}{dA}+\frac{V}{dV}+\frac{\rho }{dp}=\text{constant}\] done
clear
C)
\[\frac{dA}{A}+\frac{dV}{V}+\frac{dp}{\rho }=0\] done
clear
D)
\[AdA+VdV+p\,d\rho =0\] done
clear
View Solution play_arrow

Velocity defect in boundary layer theory is defined as:
A)
The error in the measurement of velocity at any point in the boundary layer done
clear
B)
The difference between the velocity at a point within the boundary layer and the free stream velocity done
clear
C)
The difference between the velocity at any point within the boundary layer and the velocity nearer the boundary done
clear
D)
The ratio between the velocity at a point in the boundary layer and the free stream velocity. done
clear
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The drage coefficient for laminar flow varies with Reynolds number (Re) as:
A)
\[{{\operatorname{Re}}^{1/2}}\] done
clear
B)
Re done
clear
C)
\[{{\operatorname{Re}}^{1}}\] done
clear
D)
\[{{\operatorname{Re}}^{1/2}}\] done
clear
View Solution play_arrow

Match ListI (Basic Ideal Flow) with ListII (Example) and select the correct answer using the codes given below the lists:
ListI (Basic Ideal Flow)  ListII (Example) 
A.  Superposition of a uniform flow over a doublet  1.  Flow over a half Rankine body 
B.  Superposition of a uniform flow over a source and sink  2.  Flow over a Rankine oval 
C.  Superposition of a uniform flow over a source  3.  Flow over a rotating body 
D.  Superposition of a free vortex flow along with a uniform flow over a doublet  4.  Flow over a stationary body 
Codes:
A)
A\[\to \]4, B\[\to \]1, C\[\to \]2, D\[\to \]3 done
clear
B)
A\[\to \]3, B\[\to \]2, C\[\to \]1, D\[\to \]4 done
clear
C)
A\[\to \]4, B\[\to \]2, C\[\to \]1, D\[\to \]3 done
clear
D)
A\[\to \]3, B\[\to \]1, C\[\to \]2, D\[\to \]4 done
clear
View Solution play_arrow

The square root of the ratio of inertia force to gravity force is called:
A)
Reynolds number done
clear
B)
Froude number done
clear
C)
Mach number done
clear
D)
Euler number done
clear
View Solution play_arrow

The thickness of turbulent boundary layer at a distance x from the leading edge over a flat plate varies as:
A)
\[{{x}^{4/5}}\] done
clear
B)
\[{{x}^{1/2}}\] done
clear
C)
\[{{x}^{1/5}}\] done
clear
D)
\[{{x}^{3/5}}\] done
clear
View Solution play_arrow

For twodimensionaly fluid element in xy plane the rotational component is given by:
A)
\[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial u}{\partial x}\frac{\partial v}{\partial y} \right)\] done
clear
B)
\[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial u}{\partial x}+\frac{\partial v}{\partial y} \right)\] done
clear
C)
\[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial v}{\partial x}\frac{\partial u}{\partial y} \right)\] done
clear
D)
\[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial v}{\partial x}\frac{\partial u}{\partial y} \right)\] done
clear
View Solution play_arrow

Which of the following relations must hold for an irrotational twodimensional flow in the \[xy\] plane:
A)
\[\frac{\partial v}{\partial y}\frac{\partial u}{\partial x}=0\] done
clear
B)
\[\frac{\partial u}{\partial z}\frac{\partial v}{\partial x}=0\] done
clear
C)
\[\frac{\partial w}{\partial y}\frac{\partial v}{\partial z}=0\] done
clear
D)
\[\frac{\partial v}{\partial x}\frac{\partial u}{\partial y}=0\] done
clear
View Solution play_arrow

The coefficient of friction \[f\] in terms of shear stress \[{{\tau }_{0}}\] is given by:
A)
\[f=\frac{\rho {{v}^{2}}}{2{{\tau }_{0}}}\] done
clear
B)
\[f=\frac{{{\tau }_{0}}}{\rho {{v}^{2}}}\] done
clear
C)
\[f=\frac{2{{\tau }_{0}}}{\rho {{v}^{2}}}\] done
clear
D)
\[\frac{2\rho {{v}_{0}}}{{{\tau }_{0}}}\] done
clear
View Solution play_arrow

Velocity distribution in a turbulent boundary layer follows:
A)
Logarithmic law done
clear
B)
Parabolic law done
clear
C)
Linear law done
clear
D)
Cubic law done
clear
View Solution play_arrow

What is the discharge for laminar flow through a pipe of diameter 40 mm having centre line velocity of 1.5 m/s?
A)
\[\frac{3\pi }{59}\,{{\text{m}}^{\text{3}}}\text{/s}\] done
clear
B)
\[\frac{3\pi }{2,500}\,{{\text{m}}^{\text{3}}}\text{/s}\] done
clear
C)
\[\frac{3\pi }{5000}\,{{\text{m}}^{\text{3}}}\text{/s}\] done
clear
D)
\[\frac{3\pi }{10000}\,{{\text{m}}^{\text{3}}}\text{/s}\] done
clear
View Solution play_arrow

Which one of the following is the expression for momentum thickness \[\theta \] of a boundary layer?
A)
\[\theta ={{\int\limits_{0}^{\delta }{\left[ 1\frac{U}{{{U}_{0}}} \right]}}^{2}}\,dy\] done
clear
B)
\[\theta ={{\int\limits_{0}^{\delta }{\left[ 1\frac{U}{{{U}_{0}}} \right]}}^{2}}\,dy\] done
clear
C)
\[\theta =\int\limits_{0}^{\delta }{\,\frac{U}{{{U}_{0}}}\left[ 1\frac{U}{{{U}_{0}}} \right]}\,\,dy\] done
clear
D)
\[\theta =\int\limits_{0}^{\delta }{\,\frac{U}{{{U}_{0}}}\left[ 1\,{{\left( \frac{U}{{{U}_{0}}} \right)}^{2}} \right]}\,\,dy\] done
clear
View Solution play_arrow

The displacement thickness at. Section, for an air stream \[\left( \rho \,\,=\,\,1.2\,\,\text{kg/}{{\text{m}}^{\text{3}}} \right)\] moving with a velocity of 10 m/s over a flat plate is 0.5 mm. What is the loss of mass rate of flow of air due to boundary layer formation in kg per meter width of plate per second?
A)
\[6\times {{10}^{3}}\] done
clear
B)
\[6\times {{10}^{5}}\] done
clear
C)
\[3\times {{10}^{3}}\] done
clear
D)
\[2\times {{10}^{3}}\] done
clear
View Solution play_arrow

In a laminar boundary layer over a flat plate, what would be the ratio of wall shear stresses \[{{\tau }_{1}}\] and \[{{\tau }_{2}}\] at the two sections which lie at distances \[{{x}_{1}}=30\,\,cm\] and \[{{x}_{2}}=90\,\,cm\] from the leading edge of the plate?
A)
\[\frac{{{\tau }_{1}}}{{{\tau }_{2}}}=3.0\] done
clear
B)
\[\frac{{{\tau }_{1}}}{{{\tau }_{2}}}=\frac{1}{3}\] done
clear
C)
\[\frac{{{\tau }_{1}}}{{{\tau }_{2}}}=\,\,{{\left( 3.0 \right)}^{1/2}}\] done
clear
D)
\[\frac{{{\tau }_{1}}}{{{\tau }_{2}}}=\,\,\left( 3.0 \right)\] done
clear
View Solution play_arrow

Which one of the following is caused by the occurrence of a normal shock in the diverging section of a convergentdivergent nozzle?
1. Velocity jump 
2. Pressure jump 
3. Velocity drop 
4. Pressure drop 
Select the correct answer using the codes given below:
A)
1 only done
clear
B)
1 and 2 done
clear
C)
2 and 3 done
clear
D)
1 and 4 done
clear
View Solution play_arrow

A circular plate of 1.5 m diameter is submerged in water with its greatest and least depths below the water surface being 2m and 0.75m respectively. When is the approximate magnitude of the total thrust on one face of the plate?
A)
24 kN done
clear
B)
28 kN done
clear
C)
12 kN done
clear
D)
16 kN done
clear
View Solution play_arrow

Which one of the following statements is correct? A steady flow of diverging straight steam lines:
A)
Is a uniform flow with local acceleration done
clear
B)
Has convective normal acceleration done
clear
C)
Has convective tangential acceleration done
clear
D)
Has both convective normal and tangential accelerations. done
clear
View Solution play_arrow

Which one of the following is the expression of the rotational component for a twodimensional fluid element in \[xy\]plane?
A)
\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}\frac{\partial u}{\partial y} \right)\] done
clear
B)
\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}\frac{\partial u}{\partial y} \right)\] done
clear
C)
\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}\frac{\partial v}{\partial y} \right)\] done
clear
D)
\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial u}{\partial x}+\frac{\partial v}{\partial y} \right)\] done
clear
View Solution play_arrow

What is the percentage error in the estimation of the discharge due to an error of 2% in the measurement of the reading of a differential manometer connected to an orifice meter?
A)
4 done
clear
B)
3 done
clear
C)
2 done
clear
D)
1 done
clear
View Solution play_arrow

Which one of the following is the characteristics a fully developed laminar:
A)
The pressure drop in the flow direction is zero done
clear
B)
The velocity profile changes uniformly in the flow direction done
clear
C)
The velocity profile does not change in the flow direction done
clear
D)
The Reynolds number for the flow is critical. done
clear
View Solution play_arrow

Which one of the following is the correct relationship between the boundary layer thickness \[\delta ,\] displacement thickness \[\delta *\] and the momentum thickness \[\theta ?\]
A)
\[\delta <\delta *>\theta \] done
clear
B)
\[\delta *>\theta >\delta \] done
clear
C)
\[\theta >\delta >\delta *\] done
clear
D)
\[\theta >\delta *>\delta \] done
clear
View Solution play_arrow

The thickness of turbulent boundary layer at a distance x from the leading edge on a flat plate varies as:
A)
\[{{x}^{4/5}}\] done
clear
B)
\[{{x}^{3/5}}\] done
clear
C)
\[{{x}^{1/2}}\] done
clear
D)
\[{{x}^{1/5}}\] done
clear
View Solution play_arrow

When a fait plate of \[0.1\,{{m}^{2}}\] area is pulled at a constant velocity of 30 cm/s parallel to another stationary plate pocaled at a distance 0.01 cm from it and the space in between filled with a fluid of dynamic viscosity \[=\,\,0.01\,\,\text{Ns/}{{\text{m}}^{\text{2,}}}\] the force required to be applied is
A)
0.3 N done
clear
B)
3 N done
clear
C)
10 N done
clear
D)
16 N done
clear
View Solution play_arrow

Which one of the following is the continuity equation in differential form? (The symbols have usual meanings)
A)
\[\frac{dA}{A}+\frac{dV}{V}+\frac{d\rho }{\rho }=\text{constant}\] done
clear
B)
\[\frac{dA}{A}+\frac{dV}{V}+\frac{d\rho }{\rho }=0\] done
clear
C)
\[\frac{A}{dA}+\frac{V}{dV}+\frac{\rho }{d\rho }=\text{constant}\] done
clear
D)
\[AdA+VdA+\rho d\rho =0\] done
clear
View Solution play_arrow

What will be the maximum efficiency of the pipeline if onethird of the available head in flow through the pipeline is consumed by friction?
A)
33.33% done
clear
B)
50.00% done
clear
C)
66.66% done
clear
D)
75.00% done
clear
View Solution play_arrow

Which one of the following is satisfied if the flow is irrotational for a twodimensional fluid element in the \[xy\] plane?
A)
\[\frac{\partial v}{\partial x}=\frac{\partial u}{\partial y}\] done
clear
B)
\[\frac{\partial v}{\partial x}=\frac{\partial u}{\partial y}\] done
clear
C)
\[\frac{\partial u}{\partial x}=\frac{\partial v}{\partial y}\] done
clear
D)
\[\frac{\partial u}{\partial x}=\frac{\partial v}{\partial y}\] done
clear
View Solution play_arrow

The velocity distributions in laminar boundary layer is given by the relation \[u/{{u}_{\infty }}=\,y/\delta .\] what is the momentum thickness for the boundary layer?
A)
\[\delta /2\] done
clear
B)
\[\delta /3\] done
clear
C)
\[\delta /4\] done
clear
D)
\[\delta /6\] done
clear
View Solution play_arrow

How the VonKarman momentum integral equation expressed is (\[\theta \] is momentum thickness)?
A)
\[\frac{{{\tau }_{0}}}{\frac{1}{2}\,\rho \,U_{\infty }^{2}}=\frac{\partial \theta }{\partial x}\] done
clear
B)
\[\frac{{{\tau }_{0}}}{2\,\rho \,U_{\infty }^{2}}=\frac{\partial \theta }{\partial x}\] done
clear
C)
\[\frac{{{\tau }_{0}}}{\rho \,U_{\infty }^{2}}=\frac{\partial \theta }{\partial x}\] done
clear
D)
\[\frac{{{\tau }_{0}}}{\frac{1}{3}\,\rho \,U_{\infty }^{2}}=\frac{\partial \theta }{\partial x}\] done
clear
View Solution play_arrow

Air (kinematic viscosity \[=15\times {{10}^{6}}{{\text{m}}^{\text{2}}}\text{/s}\]) with a free stream velocity of 10 m/s flows over a smooth two dimensional flat plate. If the critical Reynolds number is \[5\times 10,\] what is the maximum distance from the leading edge up to which laminar boundary layer exists?
A)
30 cm done
clear
B)
75 cm done
clear
C)
150 cm done
clear
D)
300 cm done
clear
View Solution play_arrow

Using the Prandtl's mixing length concept, how is the turbulent shear stress expressed?
A)
\[\rho l\,\overline{\frac{du}{dy}}\] done
clear
B)
\[\rho {{l}^{2}}\,\overline{\frac{du}{dy}}\] done
clear
C)
\[\rho l\,{{\left( \overline{\frac{du}{dy}} \right)}^{2}}\] done
clear
D)
\[\rho {{l}^{2}}\,{{\left( \overline{\frac{du}{dy}} \right)}^{2}}\] done
clear
View Solution play_arrow

Consider the following statements:
The state of stress in a fluid consists of normal pressure only if the fluid: 
1. is at rest 
2. Is in uniform motion 
3. Has nonuniform velocity profile 
4. Has zero viscosity. 
Which of the statements given above are correct?
A)
1, 2 and 3 done
clear
B)
1, 2 and 4 done
clear
C)
1, 3 and 4 done
clear
D)
2, 3 and 4 done
clear
View Solution play_arrow

DarcyWeisback equation for the head loss in a flow through a pipe is given by \[{{h}_{1}}=4\,fl{{v}^{2}}\] (2gd) (the symbols have the usual meaning). For the laminar flow through a circular pipe, how does the friction factor \[f\] vary with the Reynolds number (Re):
A)
\[f=\text{8/Re}\] done
clear
B)
\[f=16\text{/Re}\] done
clear
C)
\[f=32\text{/Re}\] done
clear
D)
\[f=64\text{/Re}\] done
clear
View Solution play_arrow

The velocity distribution in laminar boundary layer is given by the relation \[u/{{u}_{x}}=y/\delta .\] What is the displacement thickness for the boundary layer?
A)
\[\delta \] done
clear
B)
\[\delta /2\] done
clear
C)
\[\delta /3\] done
clear
D)
\[\delta /4\] done
clear
View Solution play_arrow

Which one of the following equations gives the velocity distribution across a circular pipe having a viscous flow?
A)
\[u={{u}_{\max }}\,[1{{(r/R)}^{2}}]\] done
clear
B)
\[u={{u}_{\max }}\,[{{R}^{2}}{{r}^{2}}]\] done
clear
C)
\[u={{u}_{\max }}\,{{[1(r/R)]}^{2}}\] done
clear
D)
\[u={{u}_{\max }}\,{{[1+(r/R)]}^{2}}\] done
clear
View Solution play_arrow

In a twodimensional fluid flow,\[u=6x+xy.\] which one of the following gives the component of the velocity to satisfy the continuity equation?
A)
\[6x+xy\] done
clear
B)
\[6+xy\] done
clear
C)
\[\,\left( 6x+xy \right)\] done
clear
D)
\[\,\left( 6y+\frac{1}{2}\,{{y}^{2}} \right)\] done
clear
View Solution play_arrow

If \[u=ax\] and \[v=\,ay\] give the velocity distribution for a twodimensional flow, what is the equation of a stream line passing through the point (3, 1)?
A)
\[xy=3\] done
clear
B)
\[x+y=4\] done
clear
C)
\[x+3y=6\] done
clear
D)
\[{{x}^{2}}y=9\] done
clear
View Solution play_arrow

Consider the following statements:
1. Boundarylayer thickness in laminar flow is greater than that of turbulent flow. 
2. Boundarylayer thickness of turbulent flow is greater than that of laminar flow. 
3. Velocity distributes uniformly in a turbulent boundarylayer. 
4. Velocity has a gradual variation in a laminar boundary layer. 
Which of the statements given above are correct?
A)
1, 3 and 4 only done
clear
B)
1, 2, 3 and 4 done
clear
C)
1 and 2 only done
clear
D)
2, 3 and 4, only done
clear
View Solution play_arrow

Motion economy is better achieved by
A)
Method study done
clear
B)
Time study done
clear
C)
Work space design done
clear
D)
Process planning. done
clear
View Solution play_arrow

Which one of the following is the correct statement? The velocity profiles for fully developed laminar and turbulent flow, respectively, in a pipe are:
A)
Parabolic and parabolic done
clear
B)
Parabolic and elliptic done
clear
C)
Linear and 1/7 power law done
clear
D)
Parabolic and 1/7 power law done
clear
View Solution play_arrow

Which one of the following is the correct statement? For the case of laminar flow between two fixed parallel plates, the shear stress is
A)
Constant across the passage done
clear
B)
Maximum at the Centre and zero at the boundary done
clear
C)
Zero all through the passage done
clear
D)
Maximum at the boundary and zero at the centre done
clear
View Solution play_arrow

Consider the following statements:
The coefficient of discharge \[{{C}_{d}}\] of a venturimeter takes into account. 
1. The effect of roughness of the surface 
2. Nonuniform velocity distributions at inlet and throat section. 
3. Reynolds number of flow 
4. Discharge 
5. Length of throat 
6. Diameter of throat 
7. Diameter ratio 
Which of the statements given above are correct?
A)
1, 2, 4 and 5 done
clear
B)
1, 4, 5 and 6 done
clear
C)
1, 2, 3 and 7 done
clear
D)
2, 6 and 7 done
clear
View Solution play_arrow

Which one of the following expresses the error in discharge due to error in the measurement of head over a triangular notch?
A)
\[\frac{dQ}{Q}=\frac{5dH}{2H}\] done
clear
B)
\[\frac{dQ}{Q}=\frac{3dH}{2H}\] done
clear
C)
\[\frac{dQ}{Q}=\frac{7dH}{2H}\] done
clear
D)
\[\frac{dQ}{Q}=\frac{1dH}{2H}\] done
clear
View Solution play_arrow

Which one of the following is the correct statement? A differential manometer connected to a pitotstatic tube used for measuring fluid velocity gives:
A)
Static pressure done
clear
B)
Total pressure done
clear
C)
Dynamic pressure done
clear
D)
Difference between total pressure and dynamic pressure. done
clear
View Solution play_arrow

Which one of the following correctly represents the shear stress distribution across a section of a circular pipe having a viscous flow?
A)
\[\tau =\frac{\partial p{{r}^{2}}}{\partial x}\] done
clear
B)
\[\tau =\frac{\partial p\left( r/2 \right)}{\partial x}\] done
clear
C)
\[\tau =\,\,\frac{\partial p\left( r/2 \right)}{\partial x}\] done
clear
D)
\[\tau =\frac{\partial p\left( r \right)}{\partial x}\] done
clear
View Solution play_arrow

A pipe of diameter D conveying a discharge Q is to be replaced by parallel pipes of smaller diameter d to discharge the same quantity. What will be the ratio of \[\frac{D}{d}\,?\](\[f\]Is same for all pipes)
A)
\[\frac{D}{d}=2\] done
clear
B)
\[\frac{D}{d}=\sqrt{2}\] done
clear
C)
\[\frac{D}{d}={{4}^{1/5}}\] done
clear
D)
\[\frac{D}{d}={{4}^{1/3}}\] done
clear
View Solution play_arrow

Match ListI (Forms of Bernouli'sEquation ) with ListII (Units of these forms) and select the correct answer using codes given below the lists:
ListI (from of Bernouli?s Equation)  ListII (Units of these forms) 
A.  \[p+wz+\frac{\rho {{V}^{2}}}{2}\]  1.  Total energy per unit volume 
B.  \[\frac{p}{\acute{A}}+gz+\frac{{{V}^{2}}}{2}\]  2.  Total energy per unit mass 
C.  \[\frac{p}{w}+z+\frac{{{V}^{2}}}{2g}\]  3.  Total energy per unit weight 
Codes:
A)
A\[\to \]1, B\[\to \]2, C\[\to \]3 done
clear
B)
A\[\to \]1, B\[\to \]3, C\[\to \]2 done
clear
C)
A\[\to \]2, B\[\to \]1, C\[\to \]3 done
clear
D)
A\[\to \]2, B\[\to \]3, C\[\to \]1 done
clear
View Solution play_arrow

Which one of the following is the correct statement? A frictionless, incompressible fluid flows steadily through a convergent nozzle, then its.
A)
Energy must decrease done
clear
B)
Velocity must decrease done
clear
C)
Pressure must decrease done
clear
D)
Momentum must decrease done
clear
View Solution play_arrow

Which one of the following statements is correct stability of a floating body:
A)
M should lie between G and B (in that order) done
clear
B)
M should lie above B and G (in that order) done
clear
C)
M should lie below B and G (in that order) done
clear
D)
M should coincide with B and G done
clear
View Solution play_arrow

Consider the following statements:
A rectangular block of wood of size \[L\times B\times H\]float in water in such a way that: 
(1) The longest dimension is vertical 
(2) The longest dimension is horizontal 
(3) The metacentre is above Centre of gravity 
(4) The Centre of buoyancy is above the Centre of gravity 
Which of the statements given above is/are correct?
A)
1 only done
clear
B)
2 only 3, only done
clear
C)
2, 3 and 4 done
clear
D)
1, 3 and 4 done
clear
View Solution play_arrow

Bernoulli's equation is derived by making which one of the following assumptions?
A)
The flow is steady only done
clear
B)
The flow is uniform and incompressible done
clear
C)
The flow is nonviscous, uniform and steady done
clear
D)
The flow is steady, nonviscous, incompressible and irrotational. done
clear
View Solution play_arrow

A skater weighing 1000 N skates at a speed of 20 m/s on ice maintained at \[0{}^\circ C.\] the average skating area supporting the skater is \[0.001\,{{m}^{2}}\] and the coefficient of friction between the skatesandice is 0.02. What will be the average thickness of a film of water existing at the interface between the skater and ice? (Take dynamic viscosity of water as \[0.001\,\text{Ns/}{{\text{m}}^{\text{2}}}\])
A)
\[{{10}^{5m}}\] done
clear
B)
\[{{10}^{6}}\] done
clear
C)
\[{{10}^{2}}\] done
clear
D)
Not possible to estimate since there cannot be a possibility, of formation of a thin film of water at interface done
clear
View Solution play_arrow

Flow separation is likely to take place when the pressure gradient in the direction of flow is:
A)
Zero done
clear
B)
Adverse done
clear
C)
Slightly favourable done
clear
D)
Strongly favourable done
clear
View Solution play_arrow

The vertical component of the hydrostatic force on a submerged curved surface is the:
A)
Mass of liquid vertically above it done
clear
B)
Weight of the liquid vertically above it done
clear
C)
Force on a vertical projection of the surface done
clear
D)
Product of pressure at the centroid and the surface area done
clear
View Solution play_arrow

If a hydraulic press has a ram of 12.5 cm diameter and plunger of 1.25 cm diameter, what force would be required on the plunger to raise a mass of 1 tonne on the ram?
A)
981 N done
clear
B)
98.1 N done
clear
C)
9.81 N done
clear
D)
0.98 N done
clear
View Solution play_arrow

A liquid mass readjusts itself and undergoes a rigid body type of motion when it is subjected to a:
A)
Constant angular velocity done
clear
B)
Constant angular acceleration done
clear
C)
Linearly varying velocity done
clear
D)
Linearly varying acceleration done
clear
View Solution play_arrow

In a twodimensional flow, where u is the xcomponent and v is the ycomponent of velocity, the equation of streamline is given by:
A)
\[udxvdy=0\] done
clear
B)
\[vdxudy=0\] done
clear
C)
\[uv\,dxdy=0\] done
clear
D)
\[udx+vdy=0\] done
clear
View Solution play_arrow

The continuity equation \[\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+\frac{\partial w}{\partial z}=0\] is valid only for:
A)
Ideal fluid flow done
clear
B)
Incompressible fluid whether the flow is steady or not done
clear
C)
Steady flow, whether is compressible or not done
clear
D)
Steady flow and compressible fluids done
clear
View Solution play_arrow

From a reservoir, water is drained through two pipes of 10 cm and 20 cm diameter respectively. If the frictional head loss in both the pipes is same, then the ratio of discharge through the larger pipe to that through the smaller pipe will be:
A)
\[\sqrt{2}\] done
clear
B)
\[2\sqrt{2}\] done
clear
C)
4 done
clear
D)
\[4\sqrt{2}\] done
clear
View Solution play_arrow

While water passes through a given pipe at a mean velocity 'V, the flow is found to change from laminar to turbulent. If another fluid of specific gravity 0.8 and coefficient of viscosity 20% of that of water, is passed through the same pipe, the transition of flow from laminar to turbulent is expected if the flow velocity is:
A)
2V done
clear
B)
V done
clear
C)
V/2 done
clear
D)
V/4 done
clear
View Solution play_arrow

A hydraulic jump is formed in a 5.0 wide rectangular channel with sequent depths of 0.2 m and 0.8 m. The discharge in the channel, in \[{{\text{m}}^{\text{3}}}\text{/s,}\] is:
A)
2.43 done
clear
B)
3.45 done
clear
C)
4.43 done
clear
D)
5.00 done
clear
View Solution play_arrow

If the velocity distribution in a turbulent boundary layer is given by \[\frac{u}{{{u}_{\infty }}}={{\left( \frac{y}{\delta } \right)}^{1/9}}\] then the ratio of displacement thickness to nominal boundary layer thickness will be:
A)
1.0 done
clear
B)
0.6 done
clear
C)
0.3 done
clear
D)
0.1 done
clear
View Solution play_arrow

The barometric pressure at the base of mountain is 750 mm Hg and at the top 600 mm Hg. If the average air density is \[1\,\,\text{kg/}{{\text{m}}^{\text{3}}}\text{,}\] the height of the mountain is approximately:
A)
2000 m done
clear
B)
3000 m done
clear
C)
4000 m done
clear
D)
5000 m done
clear
View Solution play_arrow

At the interface of a liquid and a gas at rest, the pressure is:
A)
Higher on the concave side compared to that on the convex side done
clear
B)
Higher on the convex side compared to that on the concave side done
clear
C)
Equal on both sides done
clear
D)
Equal to surface tension divided by radius of curvature on both sides done
clear
View Solution play_arrow

A rectangular tank of base size \[3\,m\,\,\times \,\,3\,m\] contains oil of specific gravity 0.8 upto a height of 8 m. When it is accelerated at \[2.45\,\text{m/}{{\text{s}}^{\text{2}}}\] vertically upwards, the force on the base of the tank will be:
A)
29400 N done
clear
B)
38240 N done
clear
C)
78400 N done
clear
D)
49050 N done
clear
View Solution play_arrow

Match ListI with ListII and select the correct answer using the codes given below the lists:
ListI (Device)  ListII (Use) 
A.  Barometer  1.  Gauge pressure 
B.  Hydrometer  2.  Local atmospheric pressure 
C.  Utube manometer  3.  Relative density 
D.  Bourden gauge  4.  Pressure differential 
Codes:
A)
A\[\to \]2, B\[\to \]3, C\[\to \]1, D\[\to \]4 done
clear
B)
A\[\to \]3, B\[\to \]2, C\[\to \]1, D\[\to \]4 done
clear
C)
A\[\to \]3, B\[\to \]2, C\[\to \]4, D\[\to \]1 done
clear
D)
A\[\to \]2, B\[\to \]3, C\[\to \]4, D\[\to \]1 done
clear
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The continuity equation for 3dimensional flow \[\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+\frac{\partial w}{\partial z}=0\] Is applicable to: (Symbols have usual meanings)
A)
Steady flow done
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B)
Uniform flow done
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C)
Ideal fluid flow done
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D)
Ideal as well as viscous fluid flow done
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Bernoulli's equation \[\frac{p}{\rho }+\frac{{{v}^{2}}}{2}=gh=\]constant is applicable for:
A)
Steady, frictionless and incompressible flow along a streamline done
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B)
Uniform and frictionless flow along a streamline when \[\rho \] is a function p done
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C)
Steady and frictionless flow along a streamline when \[\rho \] is a function of p done
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D)
Steady, uniform and incomperssible flow along a streamline. done
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Two identical pipes of length 'L', diameter 'd' and friction factor \[f\] are connected is parallel between two points For the same total volume flow rate with pipe of same diameter 'd' and same friction factor \['f',\] the single length of the pipe will be:
A)
\[\frac{L}{2}\] done
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B)
\[\frac{L}{\sqrt{2}}\] done
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C)
\[\sqrt{2}L\] done
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D)
\[\frac{L}{4}\] done
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Two venturimeters of different area ration are connected at different locations of a pipeline to measure discharge. Similar manometers are used across the two venturimeters to register the head differences. The first venturimeter of area ratio 2 registers a head difference 'h' while the second venturimeter registers '5h?. The area ratio for the second venturimeter is:
A)
3 done
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B)
4 done
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C)
5 done
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D)
6 done
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The thickness of laminar boundary layer at a distance 'X' from the leading edge over a flat plate varies as:
A)
\[X\] done
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B)
\[{{X}^{1/2}}\] done
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C)
\[{{X}^{1/5}}\] done
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D)
\[{{X}^{4/5}}\] done
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Consider the following coefficients:
(Re = Reynold number) 
1. \[1.328\,\,{{\operatorname{Re}}^{\,\left( 0.5 \right)}}\] for laminar flow 
2. \[0.72\,\,{{\operatorname{Re}}^{\,\left( 0.2 \right)}}\] for turbulent flow 
3. \[0.072\,\,{{\operatorname{Re}}^{\,\left( 0.2 \right)}}\] for turbulent flow 
4. \[1.028\,\,{{\operatorname{Re}}^{\,\left( 0.5 \right)}}\] for laminar flow. 
The Coefficients for drag for a flat plate would include:
A)
1 and 2 done
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B)
2 and 4 done
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C)
1 and 3 done
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D)
3 and 4 done
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Consider the following statements:
1. Gases are considered incompressible when Mach number is less than 0.2 
2. A Newtonian fluid is incompressible and non viscous 
3. An ideal fluid has negligible surface tension which of these statements (s) is/are correct? 
A)
2 and 3 done
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B)
2 alone done
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C)
1 alone done
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D)
1 and 3 done
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