Physics
Fluid-Mechanics
Easy

Question

A square box of water has a small hole located in one of the bottom corners. When the box is full and sitting on a level surface, complete opening of the hole results in a flow of water with a speed v0, as shown. When the box is still half empty, it is tilted by 450 so that the hole is at the lowest point. Now the water will flow out with a speed of

  1. v subscript 0
  2. v subscript 0 over 2
  3. fraction numerator v subscript 0 over denominator square root of 2 end fraction
  4. fraction numerator v subscript 0 over denominator fourth root of 2 end fraction

The correct answer is: fraction numerator v subscript 0 over denominator fourth root of 2 end fraction


    V subscript 0 equals square root of 2 g h end root rightwards double arrow V to the power of 1 equals square root of 2 g fraction numerator h over denominator square root of 2 end fraction end root equals fraction numerator V subscript 0 over denominator fourth root of 2 end fraction

    Related Questions to study

    Fluid-Mechanics
    Physics

    Consider a horizontally oriented syringe containing water located of a height of 1.25 m above the ground. The diameter of plunger is 8 mm and the diameter of the nozzle is 2 mm. The plunger is pushed with a constant speed of 0.25 m/s. Find the horizontal range of water stream on the ground. Take g equals 10 m divided by s squared.

    Consider a horizontally oriented syringe containing water located of a height of 1.25 m above the ground. The diameter of plunger is 8 mm and the diameter of the nozzle is 2 mm. The plunger is pushed with a constant speed of 0.25 m/s. Find the horizontal range of water stream on the ground. Take g equals 10 m divided by s squared.

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with due to opening of the orifice.
    (Take atmospheric pressure equals 1.0 cross times 10 to the power of 5 N divided by m squared, density of water equals 1000 k g divided by m cubed  and g equals 10 m divided by s squared. Neglect any effect of surface tension)

    A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with due to opening of the orifice.
    (Take atmospheric pressure equals 1.0 cross times 10 to the power of 5 N divided by m squared, density of water equals 1000 k g divided by m cubed  and g equals 10 m divided by s squared. Neglect any effect of surface tension)

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    If the density of air is ρa and that of the liquid ρl then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to (if h is negligible)

    If the density of air is ρa and that of the liquid ρl then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to (if h is negligible)

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    A spray gun is shown in figure where a piston pushes air at of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20 mm and 1 mm respectively. The upper end of the container is open to the atmosphere.
    If the piston is pushed at a speed of 5 ms-1, the air comes out of the nozzle with a speed of

    A spray gun is shown in figure where a piston pushes air at of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20 mm and 1 mm respectively. The upper end of the container is open to the atmosphere.
    If the piston is pushed at a speed of 5 ms-1, the air comes out of the nozzle with a speed of

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A cylinder containing water upto a height of 25 cm has a hole of cross section 1 fourth c m squared at its bottom. It is counter passed in a balance. When water begins to flow out, the initial change in the balancing weight is

    A cylinder containing water upto a height of 25 cm has a hole of cross section 1 fourth c m squared at its bottom. It is counter passed in a balance. When water begins to flow out, the initial change in the balancing weight is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A large tank filled with water to a height h is to be emptied through a small hole the bottom. The ratio of the time taken for the level to fall from h to h/2 and that taken for the level to fall from h / 2 to 0 is

    A large tank filled with water to a height h is to be emptied through a small hole the bottom. The ratio of the time taken for the level to fall from h to h/2 and that taken for the level to fall from h / 2 to 0 is

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    There is a hole at the bottom of a large open vessel. If water is filled upto a height h, it flows out in time t. If water is filled to a height 4h, it will flow out in time

    There is a hole at the bottom of a large open vessel. If water is filled upto a height h, it flows out in time t. If water is filled to a height 4h, it will flow out in time

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A horizontal stream of water leaves an opening in the side of a tank. If the opening is y metres above the ground, and the stream hits the ground x metres away. If g is acceleration due to gravity, the speed of water as it leaves the tank in terms of g, y and x is

    A horizontal stream of water leaves an opening in the side of a tank. If the opening is y metres above the ground, and the stream hits the ground x metres away. If g is acceleration due to gravity, the speed of water as it leaves the tank in terms of g, y and x is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A  cylinder containing water up to a height of h cm has a hole of cross-section area a cm2 at its bottom. It is counterpoised in a balance. When water just begins to flow out, the initial change in weight is

    A  cylinder containing water up to a height of h cm has a hole of cross-section area a cm2 at its bottom. It is counterpoised in a balance. When water just begins to flow out, the initial change in weight is

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    A fire engine pumps water from a tank at 1000 text  lits  end text to the power of negative 1 end exponent. It ejects the water from a nozzle 5 m above the surface of water in the tank with a velocity of 10 m s to the power of negative 1 end exponent. The pressure difference between the water at the pump and the nozzle is open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses.

    A fire engine pumps water from a tank at 1000 text  lits  end text to the power of negative 1 end exponent. It ejects the water from a nozzle 5 m above the surface of water in the tank with a velocity of 10 m s to the power of negative 1 end exponent. The pressure difference between the water at the pump and the nozzle is open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses.

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    The main artery of a diseased man is enlarged and its area of cross section became 20% more than the previous value. The speed of blood in the unenlarged artery is 0.3 ms-1. If density of blood is 1000 Kg m-3, the excess pressure on the walls of the artery due to enlargement is

    The main artery of a diseased man is enlarged and its area of cross section became 20% more than the previous value. The speed of blood in the unenlarged artery is 0.3 ms-1. If density of blood is 1000 Kg m-3, the excess pressure on the walls of the artery due to enlargement is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    A hole is made at the bottom of the tank filled with water (density equals 1000 k g m to the power of negative 3 end exponent). If the total pressure at the bottom of the tank is three atmospheres open parentheses 1 a t m equals 10 to the power of 5 N m to the power of negative 2 end exponent close parentheses, then the velocity of efflux is

    A hole is made at the bottom of the tank filled with water (density equals 1000 k g m to the power of negative 3 end exponent). If the total pressure at the bottom of the tank is three atmospheres open parentheses 1 a t m equals 10 to the power of 5 N m to the power of negative 2 end exponent close parentheses, then the velocity of efflux is

    PhysicsFluid-Mechanics
    parallel
    Fluid-Mechanics
    Physics

    A stream of water escapes from a hole 2 m above the base of a tank and strikes the ground at a horizontal distance of 6 m. The depth of the hole from the free surface of water is

    A stream of water escapes from a hole 2 m above the base of a tank and strikes the ground at a horizontal distance of 6 m. The depth of the hole from the free surface of water is

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    The lift force acting on the wing of an aeroplane is 2275 N. If area of the wing is 5m2 and velocity of air on the lower surface of the wing is 30 m s to the power of negative 1 end exponent, velocity of air on the upper surface of the wing is (density of air is 1.3 K g m to the power of negative 3 end exponent)

    The lift force acting on the wing of an aeroplane is 2275 N. If area of the wing is 5m2 and velocity of air on the lower surface of the wing is 30 m s to the power of negative 1 end exponent, velocity of air on the upper surface of the wing is (density of air is 1.3 K g m to the power of negative 3 end exponent)

    PhysicsFluid-Mechanics
    Fluid-Mechanics
    Physics

    In a horizontal oil pipe line of constant cross sectional area the decrease of pressure between two points 100km apart is 1500Pa. the loss of energy per unit volume per unit distance is

    In a horizontal oil pipe line of constant cross sectional area the decrease of pressure between two points 100km apart is 1500Pa. the loss of energy per unit volume per unit distance 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.