A triangular element of the liquid is shown in the fig. `P_(x),P_(y)` and `P_(z)` represent the pressures on the element of the liquid then:

Consider a vessel filled with a liquid upto height H. The bottom of the vessel lies in the XY-plane passing through the origin. The density of the liquid varies with Z-axis as rho(z)=rho_(0)[2-((z)/(H))^(2)] . If p_(1) and p_(2) are the pressures at the bottom surface and top surface of the liquid, the magnitude of (p_(1)-p_(2)) is

Figure (b) shows the variation of pressure ( p ) with depth ( h ) along a vertical wall supporting two liquids of different densities as shown in Fig. (a). Identify the correct variation of pressure in the liquid of density rho_(2) .

Figure (b) shows the variation of pressure ( p ) with depth ( h ) along a vertical wall supporting two liquids of different densities as shown in Fig. (a). Identify the correct variation of pressure in the liquid of density rho_(2) .

A rectangular container moves with an acceleration a along the positive direction as shown in figure. The pressure at the A in excess of the atmospheric pressure p_(0) is (take rho as the density of liquid)