Water in U-tube executes S.H.M. Will the time period for mercury filled up to the same height in the U-tube be lesser or greater than that in case of water?

Water rises in capillary tube, whereas mercury falls in the same tube. Explain.

Two vessels have the same base area but different shapes. the first vessel takes twice the volume of water than the second, vessel requires to fill upto a particular common height. Is the force exerted by water on the base of the vessel the same in the two cases? If so, why do the vessel filled with water to that same height give differnt readings on a weighing scale?

A particle executes S.H.M. of period 8 secons. After what time of its passing through the mean position will the energy be half kinetic and half potential?

Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill upto a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases ? If so, why do the vessels filled with water to thatsame height give different readings on a weighing scale ?

Take a few containers of different sizes with circular bases. Fill the same amount of water in each container . Note the diameter of each container and the respective height at which the water level stands . Tabulate your observations. Is it a case of inverse proportion?

A cylindrical log of wood of height h and area of cross-section A floasts in water. It is pressed and then released. Show that the log would execute S.H.M. with a time period T = 2pi sqrt(m//Arhog) where m is mass of the body and rho is density of the liquid.