
A cylindrical tube, with its base as shown in the figure., is filled with water. It is moving down with a constant acceleration along a fixed inclined plane with angle . and are pressures at point and , respectively, located at the base of the tube. Let , where is density of water, is the inner diameter of the tube and is the acceleration due to gravity. Which of the following statement(s) is (are) correct?



Important Questions on Properties of Solid and Liquid
An open-ended U-tube of uniform cross-sectional area contains water (density ). Initially the water level stands at from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density is added to the left arm until its length is , as shown in the schematic figure below. The ratio of the heights of the liquid in the two arms is

When water is filled carefully in a glass, one can fill it to a height above the rim of the glass due to the surface tension of water. To calculate just before water starts flowing, model the shape of the water above the rim as a disc of thickness having semicircular edges, as shown schematically in the figure. When the pressure of water at the bottom of this disc exceeds what can be withstood due to the surface tension, the water surface breaks near the rim and water starts flowing from there. If the density of water, its surface tension and the acceleration due to gravity are and respectively, the value of (in ) is ________.

(Surface tension of water , density of water take




