Water flows through a horizontal pipe at a rate of 2.4gal/s. The pipe consists of two sections of diameters 4 inch and 2 inch with a smooth reducing section. The pressure difference between the two pipe sections is measured by a mercury manometer. Neglecting frictional effects, determine the differential height of mercury between the two pipe sections.

Water flows through a horizontal pipe at a rate of 2.4gal/s. The pipe consists of two sections of diameters 4 inch and 2 inch with a smooth reducing section. The pressure difference between the two pipe sections is measured by a mercury manometer. Neglecting frictional effects, determine the differential height of mercury between the two pipe sections.