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.
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Answer 1

$\huge\bf{Answer:-}$

Refer the attachment.

Answer 2

Answer:

Density of mercury, $$\rho_1= 13.6 \times 10^3 kg/m3$$

Height of the mercury column, $$h_1=0.76m$$

Density of French wine, $$\rho_2=984\, kg/m3$$

Height of the French wine column $$=h_2$$

Acceleration due to gravity, $$g=9.8m/s^2$$

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

Pressure in the mercury column $$=$$ Pressure in the French wine column

$$\rho_1h_1g = \rho_2h_2g$$

$$h_2 = \rho_1h_1 / \rho_2$$

$$= 13.6 \times 10^3 \times 0.76 / 984 = 10.5\ m$$

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