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Question -

Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density 984 kg m–3. Determine the height of the wine column for normal atmospheric pressure.



Answer -

10.5 m

Density of mercury, ρ1 = 13.6 × 103 kg/m3

Height of the mercury column, h1 =0.76 m

Density of French wine, ρ2 = 984 kg/m3

Height of the French wine column = h2

Acceleration due to gravity, g = 9.8 m/s2

The pressure in both the columns is equal, i.e.,

Pressure in the mercury column = Pressure in the French winecolumn

= 10.5 m

Hence, the height of the French wine column for normal atmosphericpressure is 10.5 m.

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