Two cyllindrical vessels of equal cross ...

Two cyllindrical vessels of equal cross sectional ara A contain water upto heights `h_1` and `h_2`. The vessels are interconnected so that the levels in them become equal. Calculate the work done by the force of gravity during the process. The density of water is `rho`

`gdS(x_(2)^(2)+x_(1)^(2))`

`(1)/(4)gdS(x_(2)-x_(1))^(2)`

`(3)/(4)gdS(x_(2)-x_(1))^(2)`

`gdS(x_(2)+x_(1))^(2)`

Text Solution

Verified by Experts

Topper's Solved these Questions

JEE MAINS
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise Chemistry|1 Videos

Similar Questions

Explore conceptually related problems

Two identical cylindrical vessel with their bases at the same level each contain a liquid of density rho . The height of the liquid in one vessel is h_(1) and in the other is h_(2) the area of either base is A. What is the work done by gravity is equalising the levels when the two vessels are connected?

Water at 50^(@)C is filled in a closed cylindrical vessel of height 10cm and cross sectional area 10cm^(2) The walls of the vessel are adiabatic but the flat parts are made of 1-mm thick aluminium (K=200Js^(-2)m^(-1)C^(-1) . Assume that the outside temperature is 20^(@)C . The density of water is 1000kgm^(-3) and the specify heat capacity of water =4200Jkg^(-1)C^(-1) .Estimate the time taken for the temperature to fall by 1.0^(@)C . Make any simplifying assumption you need but specify them.

Mercury of density rho_(m) is poured into cylinderical communicating vessels of cross-sectional area 2A and A respectively. A solid iron cube of volume V_(0) and relative density 2 is dropped into the broad vessel, and as a result the level of the mercury in it rises. Then, water is poured into the broader vessel until the mercury reaches the previous level in it. Find the height of water column if it does not submerge the block.

Water level is maintained ina cylindrical vessel up to a fixed height H. The vessel is kept on a horizontal plane. At what height above the bottom should a hole be made in the vessel so that the water stream coming out of the hole strikes the horizontal plane at the greatest distance from the vessel.

A cylindrical container of cross-section area, A is filled up with water upto height 'h' Water may exit through a tap of cross sectional area 'a' in the bottom of container. Find out (a) Velocity of water just after opening of tap. (b) The area of cross-section of water stream coming out of tape at depth h_(0) below tap in terms of 'a' just after opening of tap. (c) Time in which conainer becomes empty. (Given : ((a)/(A))^(1//2) = 0.22, h = 20 cm , h_(0) = 20 cm

A cylindrical vessel is filled with water upto a height of 1m. The cross-sectional area of the orifice at the bottom is (1//400) that of the vessel. (a) What is the time required to empty the tank through the orifice at the bottom? (b) What is the time required for the same amount of water to flow out if the water level in tank is maintained always at a height of 1m from orifice?

In a cylindrical vessel containing liquid of density rho there are two holes in the side walls at heights of h_(1) and h_(2) respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole for which the range of efflux would be maximum, will be

To what height h should a cylindrical vessel of diameter d be filled with a liquid so that the total force on the vertical surface of the vessel be equal to the force on the bottom-

Water stands upto a height h behind the vertical wall of a dam what is the net horizontal force pushing the dam down by the stream if width of the dam is sigma ? (rho= density of water)

A cylindrical vessel open at the top is 20cm high and 10 cm in diameter. A circular hole of cross-sectional area 1cm^(2) is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate of 10^(2)cm^(3)//s . The height of water in the vessel under steady state is (Take g=10m//s^(2)) .

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS 2020-PHYSICS

A particle of charge q and mass m is subjected to an electric field E=...
Text Solution
|
The circuit is switched on at t=0, Find the time when energy stored in...
Text Solution
|
Two cyllindrical vessels of equal cross sectional ara A contain water ...
Text Solution
|
A body is moving in a low circular orbit about a planet of mass M and ...
Text Solution
|
A cube of metal is subjected to a hydrostatic pressure of 4 Gpa. The p...
Text Solution
|
A circular coil has moment of inertia "0.8 kg m"^(2) around any diamet...
Text Solution
|
Consider two uniform discs of the same thickness and different radii ...
Text Solution
|
The value of current i(1) flowing from A to C in the circuit diagram i...
Text Solution
|
Identify the operation performed by the circuit given below:
Text Solution
|
A paramagnetic sample shows a net magnetisationo f 6 A/m when it is pl...
Text Solution
|
Find the Binding energy per neucleon for ""(50)^(120)SnMass of proton ...
Text Solution
|
The electric field of a plane electromagnetic wave is given by vecE=...
Text Solution
|
The driver of a bus approaching a big wall botices that the frequency ...
Text Solution
|
A person pushes a box on a rough horizontal plateform surface.He appli...
Text Solution
|
In a photoelectric effect experiment, the graph of stopping potential ...
Text Solution
|
Match the thermodynamic processes taking place in a system with the c...
Text Solution
|
Find the ratio of moment of inertia about axis perpendicular to rectan...
Text Solution
|
The change in the magnitude of the volume of an ideal gas when a small...
Text Solution
|
Four resistances 40Omega, 60Omega, 90Omega and 100Omega make the arms ...
Text Solution
|
Orange light of wavelength 6000xx10^(-10)m illuminates a single slit o...
Text Solution
|