Home
Class 11
PHYSICS
A cylindrical vessel containing a liqui...

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure . The radius of vessel is 5 cm and the angular speed of rotation is ` omega` rad `s^(-1)`. The difference in the height , h ( in cm ) of liquid at the centre of vessel and at the side will be :

A

`(2 omega^(2))/( 25 g)`

B

`(5 omega ^(2))/( 2 g)`

C

`(25 omega^(2))/( 2 g)`

D

`(2 omega^(2))/(5 g)`

Text Solution

Verified by Experts

The correct Answer is:
C

Applying pressure equation from A to B
`P_(0) + rho . (R omega^(2))/( 2) . R - rho gh = P_(0)`
`( rho R^(2) omega^(2))/( 2) = rho gh`
`h = (R^(2) omega^(2))/( 2 g) = (5) ^(2) (omega^(2))/( 2 g) = (25)/( 2) (omega^(2))/( g)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is 0.05m and the speed of rotation is "2rev/s" ,The difference in the height h of the liquid at the centre of the vessel and its sides will be (pi^(2)=10) h=------cm

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is 5 cm and the speed of rotation is 4 rev//s , then the difference in the height of the liquid at the centre of the vessel and its sides is

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides, if the radius of vessel is 0.05 m and the speed of rotation is 2 rev//s , find difference in the height of the liquid at the centre of the vessel and its sides.

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is r and the speed of revolution is n rotations/second, find the difference in height of the liquid at the centre of vessel and its sides.

A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is r and angular velocity of rotation is omega , then the difference in the heights of the liquid at the centre of the vessel and the edge is.

A liquid kept in a cylindrical vessel of radius 0.3 m is rotated with a speed 2 r.p.s. The difference in the height of the liquid at the centre of the vessel and at it's sides it

A long cylinderical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis. The liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotatins per second, then the difference in the heights between the centre and the sides, in cm. will be :