The Metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select the correct statement.
The bodies A and B have equal stability
The body A is more stable than body B
The body B is more stable than body A
The bodies A and B are unstable
Correct Answer :
C. The body B is more stable than body A
Related Questions
Select the wrong statement
An equivalent pipe is treated as an ordinary pipe for all calculations
The length of an equivalent pipe is equal to that of a compound pipe
The discharge through an equivalent pipe is equal to that of a compound pipe
The diameter of an equivalent pipe is equal to that of a compound pipe
The liquid used in manometers should have
Low density
High density
Low surface tension
High surface tension
For a body floating in a liquid the normal pressure exerted by the liquid acts at
Bottom surface of the body
C.G. of the body
Metacentre
All points on the surface of the body
The viscosity of water at 20°C is
One stoke
One centistoke
One poise
One centipoise
The value of bulk modulus of a fluid is required to determine
Reynold's number
Froude's number
Mach number
Euler's number
The force present in a moving liquid is
Inertia force
Viscous force
Gravity force
All of these
The discharge through a channel of trapezoidal section is maximum when
Width of channel at the top is equal to twice the width at the bottom
Depth of channel is equal to the width at the bottom
The sloping side is equal to half the width at the top
The sloping side is equal to the width at the bottom
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 velocity 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
According to Chezy's formula, the discharge through an open channel is (where A = Area of flow, C = Chezy's constant, m = Hydraulic mean depth, and i = Uniform slope in bed)
A × √(m × i)
C × √(m × i)
AC × √(m × i)
mi × √(A × C)
The flow in a pipe or channel is said to be uniform when
The liquid particles at all sections have the same velocities
The liquid particles at different sections have different velocities
The quantity of liquid flowing per second is constant
Each liquid particle has a definite path
The point in the immersed body through which the resultant pressure of the liquid may be taken to act is known as
Meta center
Center of pressure
Center of buoyancy
Center of gravity
In a venturi-flume, the flow takes place at
Atmospheric pressure
Gauge pressure
Absolute pressure
None of these
A structure, whose width is __________ the width of the channel, is called a flumed structure.
Less than
More than
Equal
None of these
The centre of gravity of the volume of the liquid displaced by an immersed body is called
Centre of gravity
Centre of pressure
Metacentre
Centre of buoyancy
A large Reynold number is indication of
Smooth and streamline flow
Laminar flow
Steady flow
Highly turbulent flow
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
If no resistance is encountered by displacement, such a substance is known as
Fluid
Water
Gas
Ideal fluid
A balloon lifting in air follows the following principle
Law of gravitation
Archimedes principle
Principle of buoyancy
All of the above
A liquid would wet the solid, if adhesion forces as compared to cohesion forces are
Less
More
Equal
Less at low temperature and more at high temperature
The continuity equation is connected with
Open channel/pipe flow
Compressibility of fluids
Conservation of mass
Steady/unsteady flow
If the surface of liquid is convex, men
Cohesion pressure is negligible
Cohesion pressure is decreased
Cohesion pressure is increased
There is no cohesion pressure
Center of buoyancy is the
Centroid of the displaced volume of fluid
Center of pressure of displaced volume
Does not exist
None of the above
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
A weir, generally, used as a spillway of a dam is
Narrow crested weir
Broad crested weir
Ogee weir
Submerged weir
The specific weight of water in S.I. units is taken as
9.81 kN/m3
9.81 × 103 N/m3
9.81 × 10-6 N/mm3
Any one of these
In a free nappe,
The pressure below the nappe is atmospheric
The pressure below the nappe is negative
The pressure above the nappe is atmospheric
The pressure above the nappe is negative
For a perfect incompressible liquid, flowing in a continuous stream, the total energy of a particle remains the same, while the particle moves from one point to another. This statement is called
Continuity equation
Bernoulli's equation
Pascal's law
Archimedess principle
Reynold's number is the ratio of the inertia force to the
Surface tension force
Viscous force
Gravity force
Elastic force
The discharge over a triangular notch is
Inversely proportional to H3/2
Directly proportional to H3/2
Inversely proportional to H5/2
Directly proportional to H5/2