According to Manning's formula, the discharge through an open channel is (where M = Manning's constant)
A × M × m1/2 × i2/3
A × M × m2/3 × i1/2
A1/2 × M2/3 × m × i
A2/3 × M1/3 × m × i
Correct Answer :
B. A × M × m2/3 × i1/2
Related Questions
In a forced vortex, the velocity of flow everywhere within the fluid is
Maximum
Minimum
Zero
Nonzero finite
Buoyant force is
The resultant force acting on a floating body
The resultant force on a body due to the fluid surrounding it
Equal to the volume of liquid displaced
The force necessary to maintain equilibrium of a submerged body
When the water level on the downstream side of a weir is above the top surface of a weir, the weir is known as
Narrow-crested weir
Broad-crested weir
Ogee weir
Submerged weir
The intensity of pressure on an immersed surface __________ with the increase in depth.
Does not change
Increases
Decreases
None of these
An opening in the side of a tank or vessel such that the liquid surface with the tank is below the top edge of the opening, is called
Weir
Notch
Orifice
None of these
The loss of head due to viscosity for laminar flow in pipes is (where d = Diameter of pipe, l = Length of pipe, v = Velocity of the liquid in the pipe, μ = Viscosity of the liquid, and w = Specific weight of the flowing liquid)
4μvl/wd²
8μvl/wd²
16μvl/wd²
32μvl/wd²
The centre of pressure acts __________ the centre of gravity of immersed surface.
At
Above
Below
None of these
The unit of viscosity is
Metres² per sec
kg-sec/metre
Newton-sec per metre²
Newton-sec per meter
According to Francis formula, the discharge over a rectangular weir is (where n = Number of end contractions)
(2/3) × Cd (L - nH) × √(2gh)
(2/3) × Cd (L - 0.1nH) × √(2g) × H3/2
(2/3) × Cd (L - nH) × √(2g) × H²
(2/3) × Cd (L - nH) × √(2g) × H5/2
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 bring the liquid level from H1 to H2 will be
2A × √H₁/Cd × a × √(2g)
2A × √H₂/Cd × a × √(2g)
2A × (√H₁ - √H₂)/Cd × a × √(2g)
2A × (√H3/2 - √H3/2)/Cd × a × √(2g)
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
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
The body will sink down if the force of buoyancy is __________ the weight of the liquid displaced.
Equal to
Less than
More than
None of these
A piece weighing 3 kg in air was found to weigh 2.5 kg when submerged in water. Its specific gravity is
1
5
7
6
Dynamic viscosity of most of the gases with rise in temperature
Increases
Decreases
Remain unaffected
Unpredictable
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
If no resistance is encountered by displacement, such a substance is known as
Fluid
Water
Gas
Ideal fluid
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
An ideal flow of any fluid must fulfil the following
Newton's law of motion
Newton's law of viscosity
Pascal' law
Continuity equation
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
Liquids
Cannot be compressed
Occupy definite volume
Are not affected by change in pressure and temperature
None of the above
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
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
Rain drops are spherical because of
Viscosity
Air resistance
Surface tension forces
Atmospheric pressure
The discharge through a channel of circular section will be maximum when the depth of water is __________ the diameter of the circular channel.
0.34 times
0.67 times
0.81 times
0.95 times
The weight per unit volume of a liquid at a standard temperature and pressure is called
Specific weight
Mass density
Specific gravity
None of these
Poise is the unit of
Surface tension
Capillarity
Viscosity
Shear stress in fluids
Surface tension
Acts in the plane of the interface normal to any line in the surface
Is also known as capillarity
Is a function of the curvature of the interface
Decreases with fall in temperature
The atmospheric pressure at sea level is
103 kN/m2
10.3 m of water
760 mm of mercury
All of these
Falling drops of water become spheres due to the property of
Adhesion
Cohesion
Surface tension
Viscosity