The difference in the heights of the two liquid surfaces is 5.137cm.
Lets assume that a simple U-tube that is open at both ends is partially filled by heavy liquid of density 1000 kg/m³ and liquid of density 533kg/m³ is then poured into one arm of the tube, resulting or expanding a column 11 cm.
Equations that can resolve the height difference using the densities is given as below:-
[tex]P + (l-h)\alpha g= P+l\beta g\\\\h=l (1- \beta /\alpha )[/tex]
Now substituting l= 11 cm , α=1000kg/m³ and β= 533kg/m³
h= 11(1-533/1000)
h=5.137cm
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