Variation of Pressure with Depth and Pascal’s Law – Rankers Physics
Topic: Solid and Fluids
Subtopic: Fluid Statics

Variation of Pressure with Depth and Pascal’s Law

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

(2020-Covid)

$13.6 \text{ m}$
$136 \text{ m}$
$0.76 \text{ m}$
$1.36 \text{ m}$

Solution:

Equating pressures, we get $h_1 \rho_1 g = h_2 \rho_2 g$. Substituting the given values, $$h_1 \times 760 = 0.76 \times 13600$$. Solving for $h_1$, we obtain $h_1 = 13.6 \text{ m}$.

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