A piston of cross sectional area `2cm^2` pushes the liquid out of a tube whose area at the outlet is `40mm^2`. The piston is pushed at a rate of `2cm//s`. Determine the speed at which the fluid leaves the tube.

A chemical reaction takes place in a container of cross sectional area 100 cm^2 . the container has a loosely fitted piston one end. As a result of the reaction, a piston is pushed out through 10 cm against an external pressure of 1.0 atm. Calculate the work done by the system.

The area of a rectangle with length 10 cm is 60 cm^2 . What is breadth ?

The diagonal of square is changing at the rate of 0.5 cms^(-1) . Then the rate of change of area, when the area is 400 cm^(2) , is equal to

The length x of a rectangle is increasing at the rate of 3 m/sec and the width y is increasing at the rate of 2 m/sec. Find the rate of change of its area when x=10 cm and y=6 cm.

The flow of water in a horizontal pipe is streamline. At as point in the tube where its cross sectional area is 10 cm ^2 , the velocity of water and pressure are 1 m/s and 2 xx 10^3 pascal respectively. Then the pressure of water at a different point , where the cross sectional area is 5 cm^2 will be

The given figure shows a streamline flow of a non-viscous liquid having density 1000 kg//m^3 .The cross sectional area at point A is 2cm^2 and at point B is 1mm^2 .The speed of liquid at the point A is 5 cm//s . Both points A and B are at the same horizontal level. Calculate the difference in pressure at A and B.

The two femurs each of cross-sectional area 10 cm^(2) support the upper part of a human body of mass 40 kg. the average pressure sustained by the femurs is (take g=10 ms^(-2))