Home
Class 11
PHYSICS
A liquid is kept in a cylindrical vessel...

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

`h=(2pi^(2)n^(2)r^(2))/(g)`

B

`h=(4pi^(2)n^(2)r^(2))/(g)`

C

`h=(pi^(2)r^(2)n^(2))/(g)`

D

`h=(pi^(2)r^(2)n^(2))/(2g)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 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 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 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 long cylindrical 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 rotations per second, then the difference in the heights between the centre and the sides, in cm, will be:

A cylindrical vessel of radius r containing a liqiud is rotating about a vertical axis through the centre of circular base, If the vessel is rotating with angular velocity omega then what is the difference of the heights of liquid at centre of vessel and edge?

A cylinder vessel of radius 10 cm containing a liquid is rotating about a vertical axis through the centre of circular base. The vessel is rotating with angular frequency 10 rad/s. Find the difference of the heights of liquid at centre of vessel and edge.

A conical vessel wihout a bottom stands on a table. A liquid is poured with the vessel & as soon as the level reaches h, the pressure of the liquid raises the vessel. The radius of the base of the vessel is R and half angle of the cone alpha and the weight of the vessel is W. What is the density of the liquid ?

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-

The bottom of a cylindrical vessel has a circlular hole of radius r and at depth h below the water] level. If the diameter of the vessel is D, the find then speed with which the water level in the] vessel drops.