Home
Class 11
PHYSICS
A liquid flows through a horizontal tube...

A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross section `A_(1)` and `A_(2)` are `v_(1)` and `v_(2)` respectively. The difference in the levels of the liquid in the two vertical tubes is `h`. Then

A

the volume of the liquid flowing through the tube in unit time is `A_(1)v_(1)`

B

`v_(2)-v_(1)=sqrt(2gh)`

C

`v_(2)^(2)-v_(1)^(2)=2gh`

D

the energy per unit mass of the liquid is the same in both sections of the tube

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`(P_(1))/(rho)+(v_(1)^(2))/2=(P_(2))/(rho)+(v_(2)^(2))/2`
`P_(1)-P_(2)=(rho)/2(v_(2)^(2)-v_(1)^(2))`
But
`P_(1)-P_(2)=rhogh=(rho)/2(v_(2)^(2)-v_(1)^(2))`
or `v_(2)^(2)-v_(1)^(2)=2gh`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise Assertion-Reasoning|8 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|43 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct|95 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|2 Videos

  • GRAVITATION

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

An incompressible liquid flows through a horizontal tube as shown in the figure. Then the velocity 'v' of the fluid is:

Water flows through a horizontal tube as shown in figure. If the difference of heights of water colun in the vertical tubes is 2 cm and the area of cross section at A and B are 4cm^2 and 2cm^2 respectively, find the rate of flow of water across any section.

Knowledge Check

  • A liquid flows through a horizontal tube as shown in figure. The velocities of the liquid in the two sections, which have areas of cross-section A_(1) and A_(2) and v_(1) and v_(2) respectively. The differnece in the levels of the liquid in the two vertical tubes is h . then

    A
    `v_(2)^(2)-v_(1)^(2)=2gh`
    B
    `v_(2)^(2)+v_(1)^(2)=2gh`
    C
    `v_(2)^(2)-v_(1)^(2)=gh`
    D
    `v_(2)^(2)+v_(1)^(2)=gh`

    • Similar Questions

    Explore conceptually related problems

    Water flows through a horizontal tube as shown in figure. If the difference of height of water column in the vertical tubes in 2cm and the areas of corss-section at A and B are 4 cm^(2) and 2 cm^(2) respectively. Find the rate of flow of water across any section. .

    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 .

    A horizontal thin tube of length 2L completely filled with a liquid of density delta rotates about a vertical axis passing through one of its end and along the diameter of its side face with an constant angular velocity omega . Two vertical thin long tubes are fitted with the horizontal tube to measure the pressure difference between points A and B which are at same horizontal level as shown. Neglect viscous forces and surfaces tension of liquid. The difference in the heights (h) of the liquid column in the two vertical thin tubes is :

    In a U-tube the radii of two columns are respectively r_(1) and r_(2) and if a liquid of density d filled in it has level difference of h then the surface tension of the liquid is -

    A horizontal tube has different cross sections at points A and B . The areas of cross section are a_(1) and a_(2) respectively, and pressures at these points are p_(1)=rhogh_(1) and p_(2)=rhogh_(2) where rho is the density of liquid flowing in the tube and h_(1) and h_(2) are heights of liquid columns in vertical tubes connected at A and B . If h_(1)-h_(2)=h , then the flow rate of the liquid in the horizontal tube is

    A pipe of non uniform cross section has two distinct section 1 and 2 with areas 2cm^(2) and 4cm^(2) respectively. If the velocity of flowing liquid at section 1 is 5cm//s , determine the velocity at section 2 .

    Home
    Profile