Physics-
General
Easy

Question

A homogeneous solid cylinder of length L(L<H/2). Cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure P subscript 0 end subscript. The density D of solid is given by

  1. fraction numerator 5 over denominator 4 end fraction blank d    
  2. fraction numerator 4 over denominator 5 end fraction blank d    
  3. d    
  4. fraction numerator d over denominator 5 end fraction    

The correct answer is: d

Related Questions to study

General
Physics-

In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities v subscript A end subscript and v subscript B end subscript, and pressure P subscript A end subscript and P subscript B end subscript at points A and B respectively

In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities v subscript A end subscript and v subscript B end subscript, and pressure P subscript A end subscript and P subscript B end subscript at points A and B respectively

Physics-General
General
Physics-

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is maximum at ____________

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is maximum at ____________

Physics-General
General
Physics-

A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density rho and mass m subscript 0 end subscript. Assuming that the liquid starts flowing out horizontally through the hole at t=0, calculate the acceleration of the container.

A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density rho and mass m subscript 0 end subscript. Assuming that the liquid starts flowing out horizontally through the hole at t=0, calculate the acceleration of the container.

Physics-General
parallel
General
Physics-

A horizontal tube has different cross-section at two points A and B The diameters of the tube at points A and B are 4 cm and 2 cm respectively. The two manometers arms are fixed at points A and B. When a liquid of density 800 blank k g blank m to the power of negative 3 end exponent flows through the tube, the difference of pressure between the arms of manometer is 8 cm. Calculate the rate of flow of liquid nearly, deriving the necessary formula open parentheses g equals 9.8 blank m blank s to the power of negative 2 end exponent close parentheses

A horizontal tube has different cross-section at two points A and B The diameters of the tube at points A and B are 4 cm and 2 cm respectively. The two manometers arms are fixed at points A and B. When a liquid of density 800 blank k g blank m to the power of negative 3 end exponent flows through the tube, the difference of pressure between the arms of manometer is 8 cm. Calculate the rate of flow of liquid nearly, deriving the necessary formula open parentheses g equals 9.8 blank m blank s to the power of negative 2 end exponent close parentheses

Physics-General
General
Physics-

Figure shows how the stream of water emerging from a faucet "necks down" as it falls. Figure shows two levels separated by a vertical distance h. The cross-sectional areas A subscript 0 end subscript and A are marked in the figure. At what rate does water flow from the tap?

Figure shows how the stream of water emerging from a faucet "necks down" as it falls. Figure shows two levels separated by a vertical distance h. The cross-sectional areas A subscript 0 end subscript and A are marked in the figure. At what rate does water flow from the tap?

Physics-General
General
Physics-

Figure shows a U-tube of uniform cross-sectional area A accelerated with acceleration a as shown. If d is the separation between the limbs, then what is the difference in the level of the liquid in the U-tube ?

Figure shows a U-tube of uniform cross-sectional area A accelerated with acceleration a as shown. If d is the separation between the limbs, then what is the difference in the level of the liquid in the U-tube ?

Physics-General
parallel
General
Physics-

A ball of radius r and density rho falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is eta, the value of h is given by

A ball of radius r and density rho falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is eta, the value of h is given by

Physics-General
General
Physics-

Two capillary tubes of equal length and inner radii 2r and 4r respectively are added in series and a liquid flows through it. If the pressure difference between the ends of the whole system is 8.5 cm of mercury, find the pressure difference between the two ends of the first capillary tube.

Two capillary tubes of equal length and inner radii 2r and 4r respectively are added in series and a liquid flows through it. If the pressure difference between the ends of the whole system is 8.5 cm of mercury, find the pressure difference between the two ends of the first capillary tube.

Physics-General
General
Physics-

A metal ball of radius 'r' and density 'd' travels with a terminal velocity 'v' in a liquid of density d/4. The terminal velocity of another ball of radius '2r' and density ' 3 d ' in the same liquid is

A metal ball of radius 'r' and density 'd' travels with a terminal velocity 'v' in a liquid of density d/4. The terminal velocity of another ball of radius '2r' and density ' 3 d ' in the same liquid is

Physics-General
parallel
General
Physics-

In a surface tension experiment, the lower end of a capillary tube of radius r is placed vertically in water. It is observed that with rise in water heat is evolved. When liquid rises to a height of 2 cm, the angle of contact is zero. If the tube is depressed more now so that the top of the capillary is only 1 cm above the liquid, the angle of contact changes. If the same experiment is repeated in an artificial satellite, still water rises. If water rises to height h, the heat evolved is? ( d is the density of water)

In a surface tension experiment, the lower end of a capillary tube of radius r is placed vertically in water. It is observed that with rise in water heat is evolved. When liquid rises to a height of 2 cm, the angle of contact is zero. If the tube is depressed more now so that the top of the capillary is only 1 cm above the liquid, the angle of contact changes. If the same experiment is repeated in an artificial satellite, still water rises. If water rises to height h, the heat evolved is? ( d is the density of water)

Physics-General
General
Physics-

Consider a small surface area of 1 blank m m to the power of 2 end exponent at the top of a mercury drop of radius 4 mm. If atmospheric pressure 1 cross times 10 to the power of 5 end exponent p and surface tension of mercury 0.465 N/m. Neglect the effect of gravity The force exerted on this area by the mercury surface in contact with it

Consider a small surface area of 1 blank m m to the power of 2 end exponent at the top of a mercury drop of radius 4 mm. If atmospheric pressure 1 cross times 10 to the power of 5 end exponent p and surface tension of mercury 0.465 N/m. Neglect the effect of gravity The force exerted on this area by the mercury surface in contact with it

Physics-General
General
Physics-

The capillaries shown in figure have inner radii 0.5 mm,1.0 mm and 1.5 mm respectively. The liquid in the beaker is water. Find the heights of water level in the capillaries. The surface tension of water is 7.5 space cross times 10 to the power of negative 2 end exponent blank N divided by m.

The capillaries shown in figure have inner radii 0.5 mm,1.0 mm and 1.5 mm respectively. The liquid in the beaker is water. Find the heights of water level in the capillaries. The surface tension of water is 7.5 space cross times 10 to the power of negative 2 end exponent blank N divided by m.

Physics-General
parallel
General
Physics-

A liquid is contained in a vertical tube of semicircular cross-section. The contact angle is zero. The force of surface tension on the curved part and on the flat part are in ratio

A liquid is contained in a vertical tube of semicircular cross-section. The contact angle is zero. The force of surface tension on the curved part and on the flat part are in ratio

Physics-General
General
Physics-

The inter molecular forces of attraction within a liquid gives rise to a phenomenon known as surface tension. On the basis of molecular theory the molecules of the liquid molecules tends to attain almost a spherical shape. However for large drops the shape is not perfectly spherical. The free energy contained in a liquid surface per unit area is surface tension. If a capillary tube is immersed or kept in contact with a liquid surface, the liquid rises or falls in capillary tube when compared to the level of liquid in out side. The rise or fall depends on the cohesive and adhesive forces. A container of width 2 a is filled with a liquid. A thin wire of mass per unit length mu is gently placed on the middle of the surface as shown in fig. As a result the liquid surface is depressed by a distance y. The surface tension of liquid is given by

The inter molecular forces of attraction within a liquid gives rise to a phenomenon known as surface tension. On the basis of molecular theory the molecules of the liquid molecules tends to attain almost a spherical shape. However for large drops the shape is not perfectly spherical. The free energy contained in a liquid surface per unit area is surface tension. If a capillary tube is immersed or kept in contact with a liquid surface, the liquid rises or falls in capillary tube when compared to the level of liquid in out side. The rise or fall depends on the cohesive and adhesive forces. A container of width 2 a is filled with a liquid. A thin wire of mass per unit length mu is gently placed on the middle of the surface as shown in fig. As a result the liquid surface is depressed by a distance y. The surface tension of liquid is given by

Physics-General
General
Physics-

A light open rigid wire frame floats on the surface of water as shown in fig. What force will act on the frame due to surface, immediately after some soap solution is dropped inside it . T subscript 1 end subscript and T subscript 2 end subscript are the surface tensions of water and soap solutions respectively open parentheses T subscript 1 end subscript greater than T subscript 2 end subscript close parentheses.

A light open rigid wire frame floats on the surface of water as shown in fig. What force will act on the frame due to surface, immediately after some soap solution is dropped inside it . T subscript 1 end subscript and T subscript 2 end subscript are the surface tensions of water and soap solutions respectively open parentheses T subscript 1 end subscript greater than T subscript 2 end subscript close parentheses.

Physics-General
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.