A tank is filled with water to a height H. A hole is made in one of the wall at a depth D below the water surface. The distance x from the foot of the wall at which the stream of water strikes the ground is given by :

A cylindrical tank has a hole of area 0.5 cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm3/sec then the maximum height upto which water can rise in the tank is :

The density of the atmosphere at sea level is 1.3 kg/m3. Assume it does not change with altitude and g = 10 ms–2, how high would the atmosphere extend ?

A tube 1 cm2 in cross-section is attached to the top of a vessel 1 cm high and of cross-section 100 cm2. Water is poured into the system filling it to a depth of 100 cm above the bottom of the vessel as shown in figure. Take g = 10 ms–2. Now,

A body with a volume V neither sinks nor floats in a liquid. If the vessel containing the liquid falls with an acceleration g/3 , then the volume of the solid inside the liquid in the falling condition is:

A fully loaded Boeing aircraft has a mass of \[3.3\times 10^{5} kg\]. Its total wing area is 500 m2. It is in level flight with speed of 960 kmph. Estimate the pressure difference between the lower and upper surfaces of the wings :

Figure shows a venturi meter, through which water is flowing. The speed of water at X is 2 cm/s. The speed of water at Y is :- (Take g = 1000 cm /s.s)

The terminal velocity of a copper ball of radius 2.0 mm falling through a tank of oil at 20°C is 6.5 cms–1. Calculate the viscosity of the oil at 20°C. (Density of oil is \[1.7\times 10^{3}kgm^{-3}\] and density of copper is \[8.9\times 10^{3}kgm^{-3}\]) :

A lead sphere of mass m falls in viscous liquid with terminal velocity v0. Another lead sphere of mass M falls through the same viscous liquid with terminal velocity 4v0. the ratio M/m is :

A sample of metal weights 210 gram in air, 180 gram in water and 120 gram in an unknown liquid. Then: