Question

- Calculate the equivalent height of mercury, which will exert as much pressure as 960 m of sea
water of density 1040 kgm . Density of mercury is 13600 kgm .​

Answer 1

Answer : 73.4 metres

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Answer 2

The equivalent height of mercury is 73.4 m

Given:

Pressure of mercury = Pressure of water of density 1040 kg.m³

Explanation:

The pressure is given by the formula:

P = hρg

Where,

h = Height

ρ = Density

g = Acceleration due to gravity

Now, from question,

P(Hg) = P(H₂O)

h × ρ(Hg) × g = h × ρ(H₂O) × g

h × ρ(Hg) = h × ρ(H₂O)

h × 13600 = 960 × 1040

h = (960 × 1040)/13600

∴ h = 73.4 m