An open tank containing liquid is moving with an acceleration on an inclined plane. The inclination of the free surface of the liquid will be __________ to the acceleration of the tank.
Equal to
Directly proportional
Inversely proportional
None of these
Correct Answer :
B. Directly proportional
Related Questions
Euler's equation in the differential form for the motion of liquids is given by
dp/ρ + g.dz + v.dv = 0
dp/ρ - g.dz + v.dv = 0
ρ.dp + g.dz + v.dv = 0
ρ.dp - g.dz + v.dv = 0
The discharge over a rectangular notch is (where b = Width of notch, and H = Height of liquid, above the sill of the notch)
(2/3) Cd × b × √(2gH)
(2/3) Cd × b × √(2g) × H
(2/3) Cd × b × √(2g) × H3/2
(2/3) Cd × b × √(2g) × H2
A compound pipe is required to be replaced by a new pipe. The two pipes are said to be equivalent, if
Length of both the pipes is same
Diameter of both the pipes is same
Loss of head and discharge of both the pipes is same
Loss of head and velocity of flow in both the pipes is same
Unit of surface tension is
Energy/unit area
Velocity/unit area
Both of the above
It has no units
The specific gravity of water is taken as
0.001
0.01
0.1
1
The vapour pressure over the concave surface is
Less man the vapour pressure over the plane surface
Equal to the vapour pressure over the plane surface
Greater than the vapour pressure over the plane surface
Zero
Whenever a plate is held immersed at some angle with the direction of flow of the liquid, it is subjected to some pressure. The component of this pressure, in the direction of flow of the liquid, is known as
Lift
Drag
Stagnation pressure
Bulk modulus
The error in discharge (dQ/Q) to the error in measurement of head (dH/H) over a triangular notch is given by
dQ/Q = 3/2 × (dH/H)
dQ/Q = 2 × (dH/H)
dQ/Q = 5/2 × (dH/H)
dQ/Q = 3 × (dH/H)
According to Newton's law of viscosity, the shear stress on a layer of a fluid is __________ to the rate of shear strain.
Equal to
Directly proportional
Inversely proportional
None of these
An internal mouthpiece is said to be running free if the length of the mouthpiece is __________ the diameter of the orifice.
Less than twice
More than twice
Less than three times
More than three times
Which of the following manometer has highest sensitivity?
U-tube with water
Inclined U-tube
U-tube with mercury
Micro-manometer with water
The loss of head at entrance in a pipe is (where v = Velocity of liquid in the pipe)
v²/2g
0.5v²/2g
0.375v²/2g
0.75v²/2g
A piece of metal of specific gravity 7 floats in mercury of specific gravity 13.6. What fraction of its volume is under mercury?
0.5
0.4
0.515
0.5
Which of the following is dimensionless?
Specific weight
Specific volume
Specific speed
Specific gravity
An average value of coefficient of velocity is
0.62
0.76
0.84
0.97
Two dimensional flows occurs when
The direction and magnitude of the velocity at all points are identical
The velocity of successive fluid particles, at any point, is the same at successive periods of time
The magnitude and direction of the velocity do not change from point to point in the fluid
The fluid particles move in plane or parallel planes and the streamline patterns are identical in each plane
The body will float if the force of buoyancy is __________ the weight of the liquid displaced.
Equal to
Less than
More than
None of these
Reynold's number is the ratio of inertia force to
Pressure force
Elastic force
Gravity force
Viscous force
A square surface 3 m × 3 m lies in a vertical line in water pipe its upper edge at water surface. The hydrostatic force on square surface is
9,000 kg
13,500 kg
18,000 kg
27,000 kg
In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate, and α = Inclination of the gate with the normal to the side of the lock)
p/sinα
2p/sinα
p/2sinα
2p/sin (α/2)
A jet of water discharging from a 40 mm diameter orifice has a diameter of 32 mm at its vena contracta. The coefficient of contraction is
0.46
0.64
0.78
0.87
For manometer, a better liquid combination is one having
Higher surface tension
Lower surface tension
Surface tension is no criterion
High density and viscosity
When a cylindrical vessel of radius (r) containing liquid is revolved about its vertical axis ω rad/s, then depth of parabola which the liquid assumes is
ω.r/2g
ω².r²/2g
ω.r/4g
ω².r²/4g
A large Reynold number is indication of
Smooth and streamline flow
Laminar flow
Steady flow
Highly turbulent flow
The tendency of a liquid surface to contract is due to the following property
Cohesion
Adhesion
Viscosity
Surface tension
With an increase in size of tube, the rise or depression of liquid in the tube due to surface tension will
Decrease
Increase
Remain unchanged
Depend upon the characteristics of liquid
Center of pressure on an inclined plane is
At the Centroid
Above the Centroid
Below the Centroid
At metacentre
Two pipe systems can be said to be equivalent, when the following quantities are same
Friction loss and flow
Length and diameter
Flow and length
Friction factor and diameter
According to Darcy's formula, the loss of head due to friction in the pipe is (where f = Darcy's coefficient, l = Length of pipe, v = Velocity of liquid in pipe, and d = Diameter of pipe)
flv²/2gd
flv²/gd
3flv²/2gd
4flv²/2gd
Pressure of the order of 10 torr can be measured by
Bourdon tube
Pirani Gauge
Micro-manometer
Lonisation gauge