In a turbulent flow,the velocity of the liquid molecules in contact with the walls of the tube is

As shown in the figure, a liquid is at the same level in both arms of a $U$-tube of uniform cross-section when at rest. If the $U$-tube moves with an acceleration '$f$' towards the right, the difference between the liquid heights in the two arms of the $U$-tube will be (acceleration due to gravity $= g$):

Given below are two statements:
Statement-$I$: The hot water flows faster than cold water.
Statement-$II$: Soap water has higher surface tension as compared to fresh water.
In the light of the above statements,choose the correct answer from the options given below:

$A$ 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 the 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

$A$ large number of droplets,each of radius $r$,coalesce to form a bigger drop of radius $R$. An engineer designs a machine so that the energy released in this process is converted into the kinetic energy of the drop. The velocity of the drop is ($T=$ surface tension,$\rho =$ density)

$A$ drop of water breaks into two droplets of equal size. In this process,which of the following statements is correct?