The total pressure on the top of a closed cylindrical vessel completely filled up with a liquid is
Directly proportional to (radius)2
Inversely proportional to (radius)2
Directly proportional to (radius)4
Inversely proportional to (radius)4
Correct Answer :
C. Directly proportional to (radius)4
Related Questions
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)
The unit of dynamic viscosity in S.I. units is
N-m/s2
N-s/m2
Poise
Stoke
The liquid used in manometers should have
Low density
High density
Low surface tension
High surface tension
Which of the following manometer has highest sensitivity?
U-tube with water
Inclined U-tube
U-tube with mercury
Micro-manometer with water
The rise of liquid along the walls of a revolving cylinder about the initial level is __________ the depression of the liquid at the axis of rotation.
Same as
Less than
More than
None of these
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
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
Falling drops of water become spheres due to the property of
Adhesion
Cohesion
Surface tension
Viscosity
The resultant upward pressure of the fluid on an immersed body is called
Up-thrust
Buoyancy
Center of pressure
All the above are correct
Dimensions of surface tension are
ML°T⁻²
ML°T
ML r²
ML²T²
The surface tension of mercury at normal temperature compared to that of water is
More
Less
Same
More or less depending on size of glass tube
For similarity, in addition to models being geometrically similar to prototype, the following in both cases should also be equal
Ratio of inertial force to force due to viscosity
Ratio of inertial force to force due to gravitation
Ratio of inertial force to force due to surface tension
All the four ratios of inertial force to force due to viscosity, gravitation, surface tension, and elasticity
The ratio of absolute viscosity to mass density is known as
Specific viscosity
Viscosity index
Kinematic viscosity
Coefficient of viscosity
The power transmitted through the pipe is maximum when the head lost due to friction is equal to
One-fourth of the total supply head
One-third of the total supply head
One-half of the total supply head
Two-third of the total supply head
An ideal flow of any fluid must satisfy
Pascal law
Newton's law of viscosity
Boundary layer theory
Continuity equation
A pipe of length more than double the diameter of orifice fitted externally or internally to the orifice is called a
Notch
Weir
Mouthpiece
Nozzle
The coefficient of viscosity may be determined by
Capillary tube method
Orifice type viscometer
Rotating cylinder method
All of these
The discharge through a large rectangular orifice is given by (where H1 = Height of the liquid above the top of the orifice, H2 = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice, and Cd = Coefficient of discharge)
Q = (2/3) Cd × b × √(2g) × (H2 - H1)
Q = (2/3) Cd × b × √(2g) × (H2 1/2 - H1 1/2)
Q = (2/3) Cd × b × √(2g) × (H2 3/2 - H1 3/2)
Q = (2/3) Cd × b × √(2g) × (H2 2 - H1 2)
The point at which the resultant pressure on an immersed surface acts, is known as
Centre of gravity
Centre of depth
Centre of pressure
Centre of immersed surface
When a cylindrical vessel containing liquid is resolved, the surface of the liquid takes the shape of
A triangle
A paraboloid
An ellipse
None of these
Piezometer is used to measure
Pressure in pipe, channels etc.
Atmospheric pressure
Very low pressures
Difference of pressure between two points
The magnitude of water hammer depends upon the
Elastic properties of the pipe material
Elastic properties of the liquid flowing through the pipe
Speed at which the valve is closed
All of the above
The intensity of pressure at any point, in a liquid, is
Directly proportional to the area of the vessel containing liquid
Directly proportional to the depth of liquid from the surface
Directly proportional to the length of the vessel containing liquid
Inversely proportional to the depth of liquid from the surface
The pressure in Pascals at a depth of 1 m below the free surface of a body of water will be equal to
1 Pa
91 Pa
981 Pa
9810 Pa
The highest efficiency is obtained with a channel of __________ section.
Circular
Square
Rectangular
Trapezoidal
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
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 Euler's equation for the motion of liquids is based upon the assumption that
The fluid is non - viscous, homogeneous and incompressible
The velocity of flow is uniform over the section
The flow is continuous, steady and along the stream line
All of the above
A vertical wall is subjected to a pressure due to one kind of liquid, on one of its sides. Which of the following statement is correct?
The pressure on the wall at the liquid level is minimum
The pressure on the bottom of the wall is maximum
The pressure on the wall at the liquid level is zero, and on the bottom of the wall is maximum
The pressure on the bottom of the wall is zer
The specific weight of sea water is __________ that of pure water.
Same as
Less than
More than
None of these