ESE 90 DAYS PLAN_Manometry and Buoyancy

Statement (I): Centre of pressure for a vertical surface submerged in a liquid lies below the centroid (centre of gravity) of the vertical surface :

Statement (II): As depth of submergence increases, the centre of pressure approaches the centroid.

A hydraulic press has a ram of 300 mm diameter and a plunger of 45 mm diameter. When the force applied at the plunger is 50 N, the weight lifted by the hydraulic press will be nearly

A differential manometer is connected to two pipes A and B as shown in figure. Pipe A and B contain the liquids of specific gravity 1.5 and 0.8 respectively, and pressure at A and B are 50 kPa and 120 kPa respectively. Difference of mercury level in the differential manometer would be :

For the system shown in figure, the air pressure P_a which will make the pressure at A to be one third of that at B, would be :

An oil of specific gravity 0.9 contained in a vessel. At a point the height of oil is 40 m and for the density of water = 1000 kg/m³, the corresponding height of water at the point will be