Mechanical Prop...

A tank with vertical walls is mounted so that its base is at a height of $$1.2 m$$ above the horizontal ground. The tank is filled with water to a depth $$2.8m.$$ A hole is punched in the side wall of thetank at a depth $$x \ m$$ below the surface of water to have maximum range of the emerging stream.Then the value of $$x$$ in meter is

A wind - powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed $$V$$, the electrical power output will be proportional to

Water stands at a height of $$100 cm$$ in a vessel whose side walls are vertical. A , B and C are holes at height $$80cm, 50 cm,$$ and $$20 cm$$ respectively from the bottom of the vessel. The correct system of water flowing out is :

The pressure at the top of a building of height $$200m$$ is $$500kPa$$. The minimum pressure required at the base of the building to pump water to a closed tank on the top of the building is($$g=10m/s^{2}$$)

There are two holes $$O_{1}$$ and $$O_{2}$$ in a tank of height H. The water emerging from $$O_{1}$$ and $$O_{2}$$ strikes the ground at the same points,as shown in fig. Then:

A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1ms$$^{-1}$$ when pressure is 50kPa at a point. If the velocity of flow has to be 2 ms$$^{-1}$$ at some other piont,the pressure at that point should be:

Air of density $$1.3 kg m^{-3}$$ blows horizontally with a speed of $$108 km h^{-1}$$. A house has a plane roof of area $$40 m^{2}$$. The magnitude of aerodynamic lift on the roof is.

In a plant, sucrose solution of coefficient of viscosity $$0.0015 N.m^{-2}$$ is driven at a velocity of $$10^{-3} m s^{-1}$$ through xylem vessels of radius  $$2\mu m$$ and length $$5 \mu m$$ . The hydrostatic pressure difference across the length of xylem vessels in $$Nm^{-2}$$ is :

Two identical tall jars are filled with water to the brim. The first jar has a small hole on the side wall at a depth $$h/3$$ and the second jar has a small hole on the side wall at a depth of $$2h/3$$, where h is the height of the jar. The water issuing out from the first jar falls at a distance $$R_{1}$$ from the base and the water issuing out from the second jar falls at a distance $$R_{2}$$ from the base. The correct relation between $$R_{1}  \ and \  R_{2}$$ is

There is a hole at the bottom of a large open vessel.If water is filled upto a height $$h$$, it flows out in time $$t$$ .If water is filled to a height $$4h$$, it will flow out in time is