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

In a cylindrical vessel containing liquid of density rho there are two holes in the side walls at heights of h_(1) and h_(2) respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole for which the range of efflux would be maximum, will be

In a cylindrical vessel containing liquid of density rho there are two holes in the side walls at heights of h_(1) and h_(2) respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole for which the range of efflux would be maximum, will be

A cylindrical vessel containing a liquid is closed by a smooth piston of mass m as shown in the figure. The area of cross section of the piston is A. If the atmospheric pressure is P_0 , find the pressure of the liquid just below the piston. ,

A cylindrical vessel containing a liquid is closed by a smooth piston of mass m as shown in the figure. The area of cross section of the piston is A. If the atmospheric pressure is P_0 , find the pressure of the liquid just below the piston. ,

A cylindrical vessel containing a liquid is closed by a smooth piston of mass m. If A is the cross sectional area of the piston and p_0 is the atmospheric pressure, then the pressure of the liquid just below the piston is