A U tube is filled with two liquids A and B of densities

Last updated: 6/5/2023

A U tube is filled with two liquids A and B of densities pand 2p as shown in the figure initially Left arm is closed and air filled above the liquid at atmospheric pressure Po and right arm is open to atmosphere Now liquid of density pis slowly poured in right arm till the level of liquid of density 2p becomes equal in the two arms Neglect any variation in the temperature of the system Given Height hy is 2 2h Level of liquid B drop in right arm by 140 141 20 ho 2 2 Po 2h Area of cross section of left arm is 2S and that of right pg is S Assume that the length of right arm is sufficiently large 19 ho 3 Length of liquid A in right arm is ho 2 3h 3 3h 3 2h 3 2h 32h 4 4h 4 3h 2 ho 4 4h h