then the velocity of efflux is :

A non uniform cylinder of mass m, length l and radius r having its C.O.M at a distance l4 from centre and lying on axis of cylinder . The cylinder is kept in a liquid of unifrom density ρ. The moment of inertia of the rod about C.O.M is I. The angular acceleration of point [...]

The tension in a string holding a solid block below the surface of a liquid (of density greater than that of solid) as shown in figure is T0 when the system is at rest. What will be the tension in the string if the system has an upward acceleration a? A hole is made at [...]

A tank is filled with water of density 10^3 kg/m^3 and oil of density 9 × 10^3 kg/m^3. The height of water layer is 1m and that of the oil layer is 4 M. The velocity of efflux front an opening in the bottom of the tank is A hole is made at the bottom [...]

A cylindrical vessel contains a liquid of density ρ 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 hole [...]

A beaker containing water is placed on the platform of a spring balance. The balance reads 1.5 kg. A stone of mass 0.5 kg and density 500 kg/m^ 3 is immersed in water without touching the walls of beaker. What will be the balance reading now? A hole is made at the bottom of the [...]

Water flows through a horizontal tube as shown in figure. If the difference of heights of water colun in the vertical tubes is 2 cm and the area of cross section at A and B are 4 cm^2 and 2 cm^2 respectively, find the rate of flow of water across any section. A hole is [...]

A U-tube of base length l filled with the same volume of two liquids of densities ρ and 2ρ is moving with an acceleration ′a′ on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height h is given by A hole is made at the [...]

An ideal fluid flows in the pipe as shown in the figure. The pressure in the fluid at the bottom P2 is the same as it is at the top P1. If the velocity of the top v1 = 2 m/s. Then the ratio of areas A1 : .A2, is A hole is made at [...]

Figure shows a liquid flowing through a tube at the rate of 0.1 m^3/s. The tube is branched into two semicircular tubes of cross-sectional area A/3 and 2A/3. The velocity of liquid at Q is (the cross section of the main tube is A = 10^−2 m^2 and vp = 20 m/s) A hole is [...]

Equal volume of two immiscible liquids of densities ρ and 2ρ are filled in a vessel as shown in the figure. Two small holes are punched at depths h/2 and 3h/2 from the surface of lighter liquid. If v1 and v2 are the velocities of efflux at these two holes, then v1/v2 is A hole [...]