First slide

Fluid statics

Question

A liquid X of density 3.36 g/cm³ is poured in a U-tube, which contains Hg. Another liquid Y is poured in left arm with height 8 cm. Upper levels of X and Y are same. What is density of Y?

Moderate

A

0.8 g/cc
B

1.2 g/cc
C

1.4 g/cc
D

1.6 g/cc

Solution

$10 cm \times ρ_{x} g = 8 cm \times ρ_{Y} g + 2 cm \times ρ_{Hg} g 10 \times 3.36 = 8 \times ρ_{y} + 2 \times 13.6 \Rightarrow ρ_{Y} = 0.8 g / cc$

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