Show that the pressure produced due to fluid column depend on the height of fluid column and density of fluid.

Show that the pressure produced due to fluid column depend on the heig

1.	Show that the pressure produced due to fluid column depend on the height of fluid column and density of fluid.
Answer» Solution :Consider a fluid at REST in a container . DENSITY of fluid is `rho` and height of fluid column is h as SHOWS in figure. The weight of the fluid in the cylinder W=mg…(1) but MASS of fluid m= volume `XX` density `=Ahrho` `thereforew=(Ahrhog)`.....(2) The pressure produced at the bottom of container due to this weight is `P=("Weight W")/("Area A")``thereforeP=(Ahrhog)/(A)` `thereforeP=hrhog` ...(3) This equation show that pressure produced due to fluid column dependon the heigh of fluid column h and density of fluid `rho`.