Finding the Height of a Heavy Oil Column in a U-Tube with Mercury and Light Oil

AI Thread Summary
To find the height of the heavy oil column in a U-tube with mercury and light oil, the problem involves understanding the relative densities of the fluids. The mercury has a relative density of 13.6, while the light oil has a height of 15 cm and a relative density of 0.78. The challenge lies in converting relative densities to actual densities and determining the relationship between the heights of the columns. The user questions whether the heights of the heavy oil and light oil columns are equal, indicating a possible realization in their calculations. The discussion emphasizes the need for clarity in the equations relating the different fluid columns.
Darth Frodo
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Homework Statement


U-tube has mercury of relative density 13.6. Column of light oil is poured into one limb. It is 15 cm tall and of relative density 0.78. A column of heavy oil is poured into the other limb so that it is level with the top of the light oil column. Find the height of the heavy oil column.

Homework Equations


The Attempt at a Solution



Please find attatched.
I must leave out my workings on converting Relative density to actual density.

My problem is the Y value. 3 variables 2 equations.
 

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Ah I think I just realized, X = Y? Is that correct?
 
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