Fluids Test - 1...

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercure, the depth of the lake is

A hemispherical bowl just floats without sinking in a liquid of density 1.2×10³ kg/m³. If outer diameter and the density of the bowl are 1 m and 2×10⁴ kg/m³ respecitvely, then the inner diameter of the bowl will be

Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is

A ball of radius r and density ρ 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 η, the value of h is given by

A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 kgm^-3. The velocity with which gasoline begins to shoot out of the hole is

A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The upthrust on the body due to the liquid is

Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s²)

The breaking stress of steel is 7.9×10⁸ N/m² and density is 7.9×10³ kg/m³. What should be the maximum length of a steel wire so that it may not break under its own weight :-

The speeds of air-flow on the upper and lower surfaces of a wing of an aeroplane are v₁ and v₂ respectively. If A is the cross-sectional area of the wing and 'ρ' is the density of air, then the upward lift is :-

If h is the height of capillary rise and r be the radius of capillary tube, then which of the following relation will be correct ?