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.

Asked by Pragya Singh | 1 year ago |  91

##### Solution :-

We know:

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

Let the height of the French wine column = h2

Acceleration due to gravity, g = 9.8 m/s2.

We know that:

Pressure in the mercury column = Pressure in the wine column

ρ1hg =ρ2hg

$$⇒ h_2 = \dfrac{ \rho _{ 1 } h_{ 1 } }{ \rho _{ 2 } }ρ_2​ρ_1​h_1​​$$

$$⇒ h_2 = \dfrac{ 13.6 \times 10^{ 3 } \times 0.76 }{ 984 }​= 10.5 m$$

Answered by Abhisek | 1 year ago

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