Ncert Exercises & Solutions

10.6 Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density $984 k g m^{- 3} .$ Determine the height of the wine column for normal atmospheric pressure.

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 wine column

$ρ_{1} h_{1} g = ρ_{2} h_{2} g$
$h_{2} = \frac{ρ_{1} h_{1}}{ρ_{2}}$
$= \frac{13.6 \times 10^{3} \times 0.76}{984}$
$= 10.5 m$

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

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