A cylindrical vessel (cross-sectional area `A` ) is filled with a liquid of density `rho` upto height `h` and is placed upon a rough horizontal surface. A hole of area of cross-section `(A)/(8)` is cut in the bottom of vessel. The initial acceleration of liquid surface in the vessel is close to

A cylindrical vessel contains a liquid of density rho up to height h . The liquid is closed by a piston of mass m and area of cross section A . There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the hole is

A cylindrical vessel contains a liquid of density rho up to height h . The liquid is closed by a piston of mass m and area of cross section A . There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the hole is

A cylindrical vessel of area of cross section A is filled with a liquid up to a height H . A very small hole of area of cross section a is made at the bottom of the vellel. Find the time taken by the vessel to become empty.

A body of uniform cross-sectional area floats in a liquid of density thrice its value. The portion of exposed height will be :

Figure here shows the vertical cross-section of a vessel filled with a liquid of density rho . The normal thrust per unit area on the walls vessel at point. P , as shown, will be

A vessel of length l, breadth b and height h is filled completely with a liquid of density d (see figure) Calculate the thrust on each surface of the cube.

In the adjacent figure a cylindrical vessel of mass M and cross - sectional area A is placed inverted on a fixed smooth piston of same cross - sectional area fixed to the ground . The space between the cylinder and priston is completely filled with liquid of density rho . There is a small office of cross - sectional area a ( a lt lt A) at the top top portion of this vessel . ( intially length of the liquid column in the vessel is H ) Speed of the liquid with which it comes out of the vessel is

In the adjacent figure a cylindrical vessel of mass M and cross - sectional area A is placed inverted on a fixed smooth piston of same cross - sectional area fixed to the ground . The space between the cylinder and priston is completely filled with liquid of density rho . There is a small office of cross - sectional area a ( a lt lt A) at the top top portion of this vessel . ( intially length of the liquid column in the vessel is H ).Find the speed of the vessel with which it move

A cylindrical tank having cross-sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)=900 kg m^(-3) and rho_(2)=600 kgm^(-3) , to a height h=60cm each as shown in the figure. A small hole having area a=5cm^(2) is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids ( ake g = 10 ms^(-2) ). The horizontal force required to keep the cylinder in static equilibrium, on a smooth horizontal plane is

A cylindrical tank having cross-sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)=900 kg m^(-3) and rho_(2)=600 kgm^(-3) , to a height h=60cm each as shown in the figure. A small hole having area a=5cm^(2) is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids (Take g = 10 ms^(-2) ). The velocity of efflux is