Home
Class 11
PHYSICS
Figure shows a liquid of densith 1200kgm...

Figure shows a liquid of densith `1200kgm^-3` flowing steadily in a tube of varying cross section. The cross section at a point A is `1.0cm^2` and that at B is `20mm^2`, the points A and B are in the same horizontal plane.The speed of the liquid at A is 10 `cms^-1`. Calculate the difference in pressure at A and B.

Text Solution

Verified by Experts

From equation of continuity, the speed `v_(2)` at B is given by `A_(1)v_(1)=A_(2)v_(2)` or, `(1.0)^(2)(10)=(20xx10^(-2))v_(2)`
or, `v_(2)=(1.0)/(20xx10^(-2))xx10=50cm//s`
By Bernoulli.s equation,
`P_(1)+rhogh_(1)+(1)/(2)rhov_(1)^(2)=P_(2)+rhogh_(2)+(1)/(2)rhov_(2)^(2)`
Here `h_(1)=h_(2)`. Thus, `P_(1)-P_(2)=(1)/(2)rhov_(2)^(2)-(1)/(2)rhov_(1)^(2)`
`=(1)/(2)xx(1200)(2500-100)=600xx2400=144Pa`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Water flows through a tube shown in figure. The areas of cross section at A and B are 1cm^2 and 0.5 cm^2 respectively. The height difference between A and B is 5m. If the speed of water at A is 10 cms^-1 find a) the speed at B. b) the difference in pressures at A and B.

Water flows through a tube shown in figure. The areas of cross section at A and B are 1cm^2 and 0.5 cm^2 respectively. The height difference between A and B is 5cm. If the speed of water at A is 10 cms^-1 . Find a. the speed at B and b. the difference in pressures at A and B.

Figure shows a liquid being pushed out of a tube by pressing a piston. The area of cross section of the piston is 1.0 cm^2 and that of the tube at the outlet is 20 mm^2 . If the piston is pushed at a speed of 2cms^-1 . What is the speed of the outgoing liquid?

In the figure shown below, a fluid of density 2 xx 10^(3) kg m^(-3) is flowing in a horizontal pipe. The speed of water at point A is 4 cm s^(-1) , what is its speed at point B?

The cross-sectionss of a pipe at two points A and B are in the ratio 1.4. If the speed of water flowing through the pipe at point A is v, its speed at point B is

Water flows through a horizontal tube of variable cross section.The area of cross section at A and B are 4 mm^2 and 2mm^2 respectively. If 1 cc of water enters per second through A find a) The speed of water at A b) the speed of river at B c) the pressure difference P_A-P_B .

Water flows through a horizontal tube of variable cross-section. The area of cross section at A and B are 4 mm^2 and 2mm^2 respectively. If 1 cc of water enters per seconds through. A find a. The speed of water at A, b. the speed of river at B and c. the pressure difference P_A-P_B .

Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of the water is p at a point , where the speed of the flow is v. What is the pressure at another point , where the speed of the flow is 2 v ? Let the density of water be 1 g cm ^(-3) .

A pipe of constant cross - section is bent in a horizontal plane as shown in the figure . Points A and B are located on two different streamlines . Then

It water flows horizontally through a pipe of varying cross section and the pressure of water equals 10 cm of g at a point where the velocity of flow is 40 cm//s , what is the pressure at another point where the velocity of flow is 50 cm//s ?