A U-tube of small and uniform cross sect...

A U-tube of small and uniform cross section contains water of total length 4H the height difference between the water columns on the left and on the right is H when the valve K is closed, the valve is suddenly open, and water is flowing from left to right. ignore friction find the speed of water when the heights of the left and the right water columns are the same.

`(1)/(4)sqrt(gH)`

`sqrt((gH)/(8))`

`(1)/(2)sqrt(gH)`

`sqrt((gH)/(2))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELASTICITY, SURFACE TENSION AND FLUID MECHANICS
ALLEN|Exercise Exercise 2 (One or more than one correct answer)|53 Videos
ELASTICITY, SURFACE TENSION AND FLUID MECHANICS
ALLEN|Exercise Exercise 3 (Assertion & Reason)|32 Videos
ELASTICITY, SURFACE TENSION AND FLUID MECHANICS
ALLEN|Exercise Exercise 1 (Surface Tension)|21 Videos
CENTRE OF MASS
ALLEN|Exercise EXERCISE-V B|19 Videos
ERROR AND MEASUREMENT
ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A vertical U-tube of uniform cross-section contains water upto a height of 30 cm. show that if the water in one limb is depressed and then released, its up and down motion in the two limbs of the tube is simple harmonic and calculate its time-period.

A vertical U-tube of uniform cross-section contains water upto a height of 2.45 cm. show that if the water on one side is decpressed and then released, its up and down motion in the tube is SHM and calculate its time period. Given g=980cms^(-2) .

Two capillaries of small cross section are connected as shown in the figure. The right tube has cross sectional radius R and left one has a radius of r (lt R) . The tube of radius R is very long where as the tube of radius r is of short length. Water is slowly poured in the right tube. Contact angle for the tube wall and water is theta = 0^(@) . Let h be the height difference between water surface in the right and left tube. Surface tension of water is T and its density is rho . (a) Find the value of h if the water surface in the left tube is found to be flat. (b) Find the maximum value of h for which water will not flow out of the left tube .

A thin V-shaped glass tube is fixed in the vertical plane as shown. Innitially the left part of the tube contains a column of water of length d=sqrt(2) m. A valve at the bottom of the tube prevents the water from moving to right part. At some time, the valve is quickly opened neglecting friction find the time (in seconds) it takes for the water to move completely into the right part of the tube. (Take g=pi^(2)m//s^(2))

A vertical uniform U tube open at both ends contains mercury. Water is poured in one limb until the level of mercury is depressed 2cm in that limb. What is the length of water column when this happens.

Water rises to a height h in a capillary tube when dipped vartically . If another capillary tube of the same material with half the bore cross section is dipped vertically rise of water in this case

A small iron ball falls from rest through a large height h into a water column, the final velocity

The arms of a vertical U tube of uniform inner cross section contains mercury. In one of the arms of the tube, water column of length 8 cm is introduced. In the other arm, oil of density 0.75 g/cm ""^(3) is poured till the upper surfaces of water and oil are at same horizontal level. Calculate the length of oilcolumn.

Water leaks out from an open tank through a hole of area 2mm^2 in the bottom. Suppose water is filled up to a height of 80 cm and the area of cross section of the tankis 0.4 m^2 . The pressure at the open surface and the hole are equal to the atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a. Find the initial speed of water coming out of the hole. b. Findteh speed of water coming out when half of water has leaked out. c. Find the volume of water leaked out during a time interval dt after the height remained is h. Thus find the decrease in height dh in term of h and dt. d. From the result of part c. find the time required for half of the water to leak out.

ALLEN-ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 1 (Fluid Statics)

A boat carrying a large number of stones is floating in a water tank. ...
Text Solution
|
An object of weight W has a uniform rectangular cross section of a x2a...
Text Solution
|
Streamline motion is that motion in which there is-
Text Solution
|
An aeroplane of mass 3xx10^(4)kg and total wing area of 120 m^(2) is i...
Text Solution
|
One end of a horizontal pipe is closed with the help of a velve and th...
Text Solution
|
Water is flowing through a channel that is 12 m wide with a speed of 0...
Text Solution
|
A U-tube of small and uniform cross section contains water of total le...
Text Solution
|
16cm^(3) of water flows per second through a capillary tube of radius ...
Text Solution
|
The water level on a tank is 5m high. There is a hole of 1 cm^(2) cro...
Text Solution
|
In the following fig., the flow of liquid through a horizontal pipe is...
Text Solution
|
The diagram (figure) shows a venturimeter, through which water is flow...
Text Solution
|
Water contained in a tank flows through an orifice of a diameter 2 cm ...
Text Solution
|
More viscous oil is used in summer than in winterr in motors due to
Text Solution
|
With increase in temperature the viscosity of
Text Solution
|
A rain drop of radius 0.3 mm has a terminal velocity in air 1m/s. the ...
Text Solution
|
Two liquids of densities d(1) and d(2) are flowing in identical capill...
Text Solution
|
The velocity of falling rain drop attain limited value bacause of
Text Solution
|
The rate of flow of liquid through a capillary tube in an experiment t...
Text Solution
|
A copper ball of radius r travels with a uniform speed v in a viscous ...
Text Solution
|
Two drops of the same radius are falling through air with a steady vel...
Text Solution
|