A tank of uniform cross-sectional area (A) containing liquid upto height (H1) has an orifice of cross-sectional area (a) at its bottom. The time required to empty the tank completely will be
(2A√H₁)/(Cd × a√2g)
(2AH₁)/(Cd × a√2g)
(2AH₁3/2)/(Cd × a√2g)
(2AH₁²)/(Cd × a√2g)
Correct Answer :
A. (2A√H₁)/(Cd × a√2g)
Related Questions
A fluid whose viscosity does not change with the rate of deformation or shear strain is known as
Real fluid
Ideal fluid
Newtonian fluid
Non-Newtonian fluid
The divergent portion of a Venturimeter is made longer than convergent portion in order to
Avoid the tendency of breaking away the stream of liquid
To minimise frictional losses
Both (A) and (B)
None of these
The property of fluid by virtue of which it offers resistance to shear is called
Surface tension
Adhesion
Cohesion
Viscosity
The increase of temperature results in
Increase in viscosity of gas
Increase in viscosity of liquid
Decrease in viscosity of gas
Decrease in viscosity of liquid
Choose the wrong statement. Alcohol is used in manometer, because
Its vapour pressure is low
It provides suitable meniscus for the inclined tube
Its density is less
It provides longer length for a given pressure difference
The value of coefficient of discharge is __________ the value of coefficient of velocity.
Less than
Same as
More than
None of these
For a floating body to be in equilibrium
Meta centre should be above e.g.
Centre of buoyancy and e.g. must lie on same vertical plane
A righting couple should be formed
All of the above
Alcohol is used in manometers because
It has low vapour pressure
It is clearly visible
It has low surface tension
It can provide longer column due to low density
Resultant pressure of the liquid in the case of an immersed body acts through
Centre of gravity
Centre of pressure
Metacentre
Centre of buoyancy
The property of a liquid which offers resistance to the movement of one layer of liquid over another adjacent layer of liquid, is called
Surface tension
Compressibility
Capillarity
Viscosity
The buoyancy depends upon the
Weight of the liquid displaced
Pressure with which the liquid is displaced
Viscosity of the liquid
Compressibility of the liquid
A flow in which the volume of a fluid and its density does not change during the flow is called _________ flow.
Incompressible
Compressible
Viscous
None of these
An open tank containing liquid is made to move from rest with a uniform acceleration. The angle 0 which the free surface of liquid makes with the horizontal is such that (where a = Horizontal acceleration of the tank, and g = Acceleration due to gravity)
tanθ = a/g
tanθ = 2 a/g
tanθ = a/2g
tanθ = a2/2g
If mercury in a barometer is replaced by water, the height of 3.75 cm of mercury will be following cm of water
51 cm
50 cm
52 cm
52.2 cm
Specific weight of sea water is more that of pure water because it contains
Dissolved air
Dissolved salt
Suspended matter
All of the above
The capillary rise at 20°C in a clean glass tube of 1 mm bore containing water is approximately
5 mm
10 mm
20 mm
30 mm
A structure used to dam up a stream or river over which the water flows is called
Orifice
Notch
Weir
Dam
When a cylindrical vessel, containing some liquid, is rotated about its vertical axis, the liquid surface is depressed down at the axis of its rotation and rises up near the walls of the vessel on all sides. This type of flow is known as
Steady flow
Turbulent flow
Vortex flow
Uniform flow
The pressure measured with the help of a Piezometer tube is in
N/mm2
N/m2
Head of liquid
All of these
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w
wh
w/h
h/w
Dimensions of surface tension are
ML°T⁻²
ML°T
ML r²
ML²T²
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Equal to
Less than
More than
None of these
A model of torpedo is tested in a towing tank at a velocity of 25 m/sec. The prototype is expected to attain a velocity of 5 m/sec. What model scale has been used?
1 : 5
1 : 2.5
1 : 25
1 : √5
A weir, generally, used as a spillway of a dam is
Narrow crested weir
Broad crested weir
Ogee weir
Submerged weir
Uniform flow 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 pleasure
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
According to Bernoulli's equation
Z + p/w + v²/2g = constant
Z + p/w - v²/2g = constant
Z - p/w + v²/2g = constant
Z - p/w - v²/2g = constant
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Decrease
Increase
Remain unchanged
Depend upon the characteristics of liquid
The discharge through a wholly drowned orifice is given by (where H1 = Height of water (on the upstream side) above the top of the orifice, H2 = Height of water (on the downstream side) above the bottom of the orifice, and H = Difference between two water levels on either side of the orifice)
Q = Cd × bH₁ × √(2gh)
Q = Cd × bH2 × √(2gh)
Q = Cd × b (H2 - H1) × √(2gh)
Q = Cd × bH × √(2gh)
The increase in pressure at the outer edge of a drum of radius (r) completely filled up with liquid of density (ρ) and rotating at (ω) rad/s is
ρ ω2 r2
2ρ ω2 r2
ρ ω2 r2/2
ρ ω2 r2/4