Question

a) Calculate the height of a water column which will exert on its base the same Pressure the 70cm of mercury . Density of mercury is 13.6 g per cm cube.
b) Will the height of the water column in part a) change if the cross section of the water column is made wider ?
Ans. (a) 9.52 m (b) No (reason required )

Answer 1

hey mate
here's the solution....

Answer 2

Answer:

(a) 9.52 m (b) No

Explanation:

(a) If the columns have to exert the same pressure (P) = F/A on the same area, they need to have the same F.

F will be the weight of the columns.

Now, we know

Density = Mass / Volume

Mass = Volume x Density

Now volume = area of base x Height = A x H

It is given that area is same

Mass = A x H x Density

Weight = M g

Now

Weight of water column = Weight of mercury column

A x Hwater x Densitywater x g = A x HMercury x DensityMercury x g

Hwater= HMercury x DensityMercury / Densitywater

= 70 cm x 13.6 g/cc / 1 = 952 cm

(b) No because pressure only depends on height and density of the fluid.