First slide

Fluid statics

Question

A body weights 150 kg in air, 120 g in water and 130 g in a liquid. The density of liquid in g ${cm}^{- 3}$ is

Easy

A

$\frac{2}{3}$
B

$\frac{4}{5}$
C

$\frac{13}{15}$
D

$\frac{15}{13}$

Solution

Specific gravity of body = $\frac{150}{30} = 5$
Volume of body = $\frac{150}{5} = 30 {cm}^{3}$
Now, (150-130)g = 30 $\times$ $ρ_{1} \times g$
$\Rightarrow ρ_{l} = \frac{20}{30} = \frac{2}{3}$

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