First slide

Fluid statics

Question

The limbs of a glass U - tube are lowered into vessels A and B, A containing water. Some air is pumped out through the top of the tube C. The liquids in the left hand limb A and the right hand limb B rise to heights of 10 cm and 12 cm respectively. The density of liquid B is:

Moderate

A

0.75 g/cm³
B

0.83 g/cm³
C

1.2 g/cm³
D

0.25 g/cm³

Solution

$P_{A} = P_{B} \Rightarrow 10 cm \times ρ_{w} \times g = 12 cm \times ρ_{L} g \Rightarrow ρ_{L} = \frac{10 \times 1}{12} = 0.83 g / {cm}^{3}$

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