Mechanical Prop...

In a hydraulic machine, a force of $$2  N$$ is applied on the piston of area of cross section $$10  c{m}^{2}$$. What force is obtained on its piston of area of cross section $$100  c{m}^{2}$$?

The diameter of neck and bottom of a bottle are $$2   cm$$ and $$10  cm$$ respectively. The bottle is completely filled with oil. If the cork in the neck is pressed in with a force of $$1.2  kgf$$, the amount of force applied on the bottom is

A water tank of height $$10m$$, completely filled with water is placed on a level ground. It has two holes one at $$3 m$$ and the other at $$7 m$$ from its base. The water ejecting from:

In a surface tension experiment with a capillary tube, water rises upto 0.1 m.  If the same experiment is repeated in an artificial satellite revolving around the earth, then the water will rise in the capillary upto a height of

A tank is filled up to a height $$2\ H$$ with a liquid and is placed on a platform of height $$H$$ from the ground.The distance $$x$$ from the ground where a small hole is punched to get the maximum range $$R$$ is

A spherical ball of density $$\rho $$ and radius $$0.003 m$$ is dropped into a tube containing a viscous fluid up to the $$0 \ cm$$ mark as shown in the figure. Viscosity of the fluid $$=1.26 N-s/m^{2}$$ and its density $$ \displaystyle \rho_{L} =\frac{\rho}{2}= 1260 kg/ m^{3}$$ Assume the ball reaches a terminal speed at $$10 cm$$ mark. The time taken by the ball to travel the distance between the $$10 cm$$ and $$20 cm $$ mark is $$(g = 10m/s ^{2} )$$

Speed of efflux is

A large open tank has two holes in the wall. One is a square hole of side $$L$$ at a depth h from the top and the other is a circular hole of radius $$R$$ at a depth $$4 h$$ from the top, When the tank is completely filled with water, quantities of water flowing out per second from both holes are the same. Then $$R$$ is equal to

Three points $$A, B$$ and $$C$$ on a steady flow of a non viscous and incompressible fluid are observed. The pressure, velocity and height of the points $$A, B $$ and $$C$$ are $$(2,3, 1). (1, 2, 2)$$and $$(4, 1, 2)$$ respectively. Density of the fluid is $$1 kgm^{-3}$$ and all otner parameters are given in SI units. Then which of the following is correct? $$(g = 10 ms ^{-2})$$

Two cylindrical vessels fitted with pistons A and B of area of cross section $$8  c{m}^{2}$$ and $$320  c{m}^{2}$$ respectively, are joined at their bottom by a tube and they are completely filled with water. Find : (i) the pressure on piston A, (ii) the pressure on piston B, and (iii) the thrust on piston B.(consider effort on piston A $$E=4kgf$$)