Physics
Fluid-Mechanics
Easy

Question

A liquid flows through a horizontal tube as shown in figure. The velocities of the liquid in the two sections, which have areas of cross-section A1  and A2 , are v1  and v2, respectively. The difference in the levels of the liquid in the two vertical tubes is h. Then

  1. v subscript 2 superscript 2 minus v subscript 1 superscript 2 equals 2 g h
  2. v subscript 2 superscript 2 plus v subscript 1 superscript 2 equals 2 g h
  3. v subscript 2 superscript 2 minus v subscript 1 superscript 2 equals g h
  4. v subscript 2 superscript 2 plus v subscript 1 superscript 2 equals g h

The correct answer is: v subscript 2 superscript 2 minus v subscript 1 superscript 2 equals 2 g h


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell A subscript 1 v subscript 1 equals A subscript 2 v subscript 2 end cell row cell v subscript 1 over v subscript 2 equals A subscript 2 over A subscript 1 end cell row cell P subscript 1 plus 1 half rho v subscript 1 superscript 2 equals P subscript 2 plus 1 half rho v subscript 2 superscript 2 end cell row cell P subscript 1 minus P subscript 2 equals 1 half left parenthesis rho v subscript 2 superscript 2 minus rho v subscript 1 superscript 2 right parenthesis end cell row cell h rho g equals 1 half rho left parenthesis v subscript 2 superscript 2 minus v subscript 1 superscript 2 right parenthesis space of 1em left parenthesis because P subscript 1 minus P subscript 2 equals h rho g right parenthesis end cell row cell v subscript 2 superscript 2 minus v subscript 1 superscript 2 equals 2 h g end cell end table

    Related Questions to study

    Fluid-Mechanics
    Physics

    A long cylindrical tank of radius 1 m is being filled by a pipe of radius 2 cm. The incoming water has a velocity of 1 m/s. The tank has a hole of radius 1 cm at the bottom. What is the height of water in the tank in steady state?

    A long cylindrical tank of radius 1 m is being filled by a pipe of radius 2 cm. The incoming water has a velocity of 1 m/s. The tank has a hole of radius 1 cm at the bottom. What is the height of water in the tank in steady state?

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A horizontal pipe line carries water in streamline flow. At a point where the cross-sectional area is 10 cm2 the water velocity is 1 ms-1 and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5 cm2 is

    A horizontal pipe line carries water in streamline flow. At a point where the cross-sectional area is 10 cm2 the water velocity is 1 ms-1 and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5 cm2 is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    An L-shaped glass tube is immersed in a flowing liquid such that its opening is pointing against the currents. If the speed of flow is v,
    .
    Study following statement:
    (i) The liquid in the tube rises to a level A
    (ii) The liquid in the tube rises to the level B
    (iii) The liquid in the tube rises to the level C
    (iv) The magnitude of h is fraction numerator v squared over denominator 2 g end fraction .
    Choose the correct statement(s).

    An L-shaped glass tube is immersed in a flowing liquid such that its opening is pointing against the currents. If the speed of flow is v,
    .
    Study following statement:
    (i) The liquid in the tube rises to a level A
    (ii) The liquid in the tube rises to the level B
    (iii) The liquid in the tube rises to the level C
    (iv) The magnitude of h is fraction numerator v squared over denominator 2 g end fraction .
    Choose the correct statement(s).

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    A manometer connected to a closed tap reads 3.5 cross times 10 to the power of 5 N divided by m squared. When the valve is opened, the reading of manometer falls to 3.0 cross times 10 to the power of 5 N divided by m squared, then velocity of flow of water is

    A manometer connected to a closed tap reads 3.5 cross times 10 to the power of 5 N divided by m squared. When the valve is opened, the reading of manometer falls to 3.0 cross times 10 to the power of 5 N divided by m squared, then velocity of flow of water is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    The speed of flow past the lower surface of a wing of an aeroplane is 50 ms-1. What speed of flow over the upper surface will give a dynamic lift of 1000 Pa? Density of
    airequals 1.3 kgm to the power of negative 3 end exponent.

    The speed of flow past the lower surface of a wing of an aeroplane is 50 ms-1. What speed of flow over the upper surface will give a dynamic lift of 1000 Pa? Density of
    airequals 1.3 kgm to the power of negative 3 end exponent.

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    Figure shows an ideal fluid flowing through a uniform cross-sectional tube in the vertical tube offers no resistance to fluid with liquid velocities  v subscript A space text and  end text v subscript B  and pressure  P subscript A space text and  end text P subscript B . Knowing that tube flow then which of the following is true.

    Figure shows an ideal fluid flowing through a uniform cross-sectional tube in the vertical tube offers no resistance to fluid with liquid velocities  v subscript A space text and  end text v subscript B  and pressure  P subscript A space text and  end text P subscript B . Knowing that tube flow then which of the following is true.

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    Consider ideal flow of water through a pipe with its axis horizontal. A and B are the two points in the same horizontal level (A lies on the upstream), then

    Consider ideal flow of water through a pipe with its axis horizontal. A and B are the two points in the same horizontal level (A lies on the upstream), then

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A broad pipe having a radius 10 cm branches into two pipes of radii, 5 cm and 3 cm. If the velocity of flowing water in the pipe of radius 3 cm be 5 cm/s, determine the velocities of water in the remaining two pipes. Given that the rate of discharge through the main branch, is 600 pi c m cubed divided by s.

    A broad pipe having a radius 10 cm branches into two pipes of radii, 5 cm and 3 cm. If the velocity of flowing water in the pipe of radius 3 cm be 5 cm/s, determine the velocities of water in the remaining two pipes. Given that the rate of discharge through the main branch, is 600 pi c m cubed divided by s.

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    An incompressible liquid travels as shown in fig. The speed of the fluid in the lower branch will be

    An incompressible liquid travels as shown in fig. The speed of the fluid in the lower branch will be

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    Water from a tap emerges vertically downwards with an initial velocity V0. Assume pressure is constant throughout the stream of water and the flow is steady. Find the distance from the tap at which cross area of stream is half of the cross-sectional area of stream at the tap.

    Water from a tap emerges vertically downwards with an initial velocity V0. Assume pressure is constant throughout the stream of water and the flow is steady. Find the distance from the tap at which cross area of stream is half of the cross-sectional area of stream at the tap.

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    The tube shown in figure is of uniform cross-section. Liquid flows through it at a constant speed in the direction shown by arrows. Then the liquid exerts on the tube is:

    The tube shown in figure is of uniform cross-section. Liquid flows through it at a constant speed in the direction shown by arrows. Then the liquid exerts on the tube is:

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    The pressure energy per unit volume of a liquid is

    The pressure energy per unit volume of a liquid is

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).

    When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    The cylindrical tube of a spray pump has a cross-section of 6 cm2 one of which has 50 holes each of diameter 1mm. If the liquid flow inside the tube is 1.2 m per minute, then the speed of ejection of the liquid through the holes is

    The cylindrical tube of a spray pump has a cross-section of 6 cm2 one of which has 50 holes each of diameter 1mm. If the liquid flow inside the tube is 1.2 m per minute, then the speed of ejection of the liquid through the holes is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    An ideal fluid flows through a pipe of circular cross section made of two sections with diameters 2.5 cm and 3.75 cm. The ratio of the velocities in the two pipes is

    An ideal fluid flows through a pipe of circular cross section made of two sections with diameters 2.5 cm and 3.75 cm. The ratio of the velocities in the two pipes is

    PhysicsFluid-Mechanics
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.