A barometer is constructed using a liquid (density $= 760 kg m^{- 3}$ ) What would be the height of the liquid column, when a mercury barometer reads $76 cm ?$
(density of mercury $= 13600 kg m^{- 3}$ )

Question

A barometer is constructed using a liquid (density = 760 kg m - 3 ) What would be the height of the liquid column, when a mercury barometer reads 76 cm ? (density of mercury = 13600 kg m - 3 )

Aicharya · Accepted Answer

Recall the formula of liquid pressure due to column in terms of density of the liquid, the height of the liquid column, and the acceleration due to gravity, $P = h ρ g$

$\Rightarrow 76 cm \times ρ_{Hg} \times g = h \times ρ_{L} \times g$

$\Rightarrow h = 76 cm \times \frac{ρ_{H g}}{ρ_{L}}$ $= 76 cm \times \frac{13600}{760}$ $= 13.6 m$ .

A barometer is constructed using a liquid (density = 760 kg m - 3 ) What would be the height of the liquid…

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