Question

A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other then find difference in the height of mercury column?

Answer 1

Density of ​methylated spirit is 0.8 gm/cc.
Let the height of the mercury column in contact with the water is h₁
Let the height of the mercury column in contact with the spirit is h_{2
So,
$$\begin{gathered} Pressureduetowatercolumn+Pressureduetomercury=Pressureduetospiritcolumn+Pressureduetomercury \\ \Rightarrow 10\times 1\times g+h_1\times 13.6\times g=12.5\times 0.8\times g+h_1\times 13.6\times g \\ \Rightarrow h_1-h_2=0 \end{gathered}$$
Diffrence betwwen the mercury levels is zero.}