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WAEC - Physics (2008 - No. 8)

The diagram above illustrates a Hare's apparatus. \(\mathit{e}_1, \mathit{e}_2\) represent densities and \(\mathit{h}_1, \mathit{h}_2\) heights of columns of liquids. Which of the following equations is correct?
\(\mathit{h}_1 = \frac{\mathit{h}_2 \mathit{e}_1}{\mathit{e}_2}\)
\(\mathit{h}_1 = \frac{\mathit{h}_2 \mathit{e}_2}{\mathit{e}_1}\)
\(\mathit{h}_1 = \frac{\mathit{e}_1 \mathit{e}_2}{\mathit{h}_2}\)
\(\mathit{h}_1 = \frac{\mathit{e}_1}{\mathit{h}_2 \mathit{e}_2}\)

Explanation

\(\frac{\mathit{h}_2}{\mathit{h}_2} = \mathit{h}_1 = \frac{\mathit{h}_2 \mathit{e}_2}{\mathit{e}_1}\)

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