Two communicating vessels contain mercury. The diameter of one vessel in n times larger then the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right hand vessel (s = relative density of mercury and `rho` = density of water) by

Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel (s=relate density of mercury and rho_1= density of water ) by

Two communicating cylindrical tubes contain mercury. The diameter of one vessel is four times large than the diameter of the outer. A column of water of height 70 cm is poured into the narrow vessel. How much wil the mercury level rise in the other vessel and how much will it sink in the narow one? How much will the mercury level rise in the narrow vessel, if a column of water of the same height is pured into the broad vessel?

Two communicating cylindrical tubes contain mercury. The diametr of one vessel is four times large than the diameter of the outer. A column of water of heigt 70 cm is poured into the narrow vessel. How much wil the mercury level rise in the other vessel and how much will it sink in the narow one? How much will the mercury level rise in the narrow vessel, if a column of water of the same height is pured into the broad vessel?

Two cylindrcal vesels placed on a horizontal table contain water and mercury respectively up to the same height. There is a small hole in the walls of each of the vessels at half the height of liquids in the vessels. Find out the ratio of the velocities of efflux of water and mercury from the holes. Whcih of the two jets of liquid will fall at a greater distance on the table from the vessel? Relative density of mercury with respect to water = 13.6

(i) A cubical metal block of side 10cm is floating in a vessel contatining mercury. The vesel has a square cross section of side length 15cm. Water is poured into the vessel so that the metal block just gets submerged. Calculate the mass of water that was poured into the vessel. It is given that relative density of the metal and mercury are 7.3 and 13.6 respectively. (ii) In the last question, in place of water if we poured another liquid of relative density 'r' it was found that when the metal block ws just completely submerged it was no longer touching mercury. what is value of r?

A steel ball floats in a vessel with mercury. How will the volume of the part of the ball submerged in mercury change if a layer of water completely covering the ball is poured above the mercury?

A u tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are at the same levels with 10 cm of water in one arm and 12.5 cm of spirit on the other arm as shown. If 15 cm of water and spirit each are further poured into the respective arms of the tube. Difference in the level of mercury in the two arms is (Take, relative density of mercury = 13.6, relative density of spirit=0.8)

A U-tube of uniform cross-section contains some mercury. If water is poured into one of the limbs up to a height of 13.4cm, then find the rise in the mercury level in the other limb. The density of mercury = 13.4g*cm^(-3) .