An incompressible liquid of density `rho` is enclosed with two frictionless pistons one of cross-sectional area A and the other of 4 A. When the narrow piston moves out by a distance.

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 liquid of density rho comes out with a velocity v from a horizontal tube of area of cross-section A. The reaction force exerted by the liquid on the tube is F :

A smooth vertical tube having two different cross sections is open from both the ends but closed by two sliding pistions as shown in Fig. and tied with an inextensible string. One mole of an ideal gas is enclosed between the piston The difference in cross-sectional areas of the two pistons is given Delta S . The masses of piston are m_(1) and m_(2) for larger and smaller one, respectively. Find the temperature by which tube is raised so that the pistons will be displaced by a distance l. Take atmospheric pressure equal to P_(0)

A smooth vertical tube having two different cross sections is open from both the ends but closed by two sliding pistions as shown in Fig. and tied with an inextensible string. One mole of an ideal gas is enclosed between the piston The difference in cross-sectional areas of the two pistons is given Delta S . The masses of piston are m_(1) and m_(2) for larger and smaller one, respectively. Find the temperature by which tube is raised so that the pistons will be displaced by a distance l. Take atmospheric pressure equal to P_(0)

A smooth vertical tube having two different cross sections is open from both the ends but closed by two sliding pistions as shown in Fig. and tied with an inextensible string. One mole of an ideal gas is enclosed between the piston The difference in cross-sectional areas of the two pistons is given Delta S . The masses of piston are m_(1) and m_(2) for larger and smaller one, respectively. Find the temperature by which tube is raised so that the pistons will be displaced by a distance l. Take atmospheric pressure equal to P_(0)

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