- #1

Richie Smash

- 293

- 15

## Homework Statement

The apparatus shown may be used to determine the density of an unknown liquid X.

The tube has a uniform cross section and the height of the water column is twice that of Liquid X.

A and B are the same horizontal level. The pressure difference between points A and C is 2.5*10

^{3}Pa.

(i) Calculate the height of the water column.

(ii) Express P

_{B}-P

_{D}in terms of P

_{A}and P

_{C}

[Hint: the answer can be deduced without resorting to any further calculation]

(iii)What is the relationship between P

_{C}and P

_{D}?

(Density of water = 1000 kg m

^{-3}; g = 10 m/s)

## Homework Equations

Pressure =ρgh

## The Attempt at a Solution

Well I know the pressure at A would be : P=ρgh and in this case the height would be the water column's height as A is at the bottom.

But they do not give me a pressure, only a pressure difference...

I could write, P=pghA+pghB...

I'm stuck i think.