(a) Find the pressure and density of a viscous fluid when temperature remains constant. (b) Define resultant pressure of fluids on plane (c) surface. What is condition of equilibrium of a body freely floating in a liquid? (d) What is nature of equilibrium of floating body? Define Meta Centre. 2. (a) Show that pressure at any point of a fluid at (b) rest is the same in every direction. OR A compressible fluid is at rest under gravity. Defining compressibility k by the relation p-Po=k(p-Po). Where p and p are Po density and pressure respectively and po and Po referred to the free surface and assuming k to be a constant, show that at depth z below the free surface dz = gpo{1+k(p- Po)} and that p = A ekgpoz