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Q.

A U tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are at the same level with 10 cm of water in one arm and 12.5 cm of spirit in the other. The relative density of the spirit is_______ $\times 10^{- 1}$

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answer is 8.

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Detailed Solution

As the mercury column in the two arms of U tube at the same level, therefore
Question Image
Pressure due to water = Pressure due to spirit column
$ρ_{w} h_{w} g = ρ_{2} h_{5} g$
$ρ_{5} = \frac{h_{u}}{h_{3}} ρ_{w}$
$∴$ Relative density of spirit $= \frac{ρ_{I}}{ρ_{w}} = \frac{h_{w}}{h_{I}} = \frac{10 c m}{12.5 c m} = 0.8$

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