First slide

Fluid statics

Question

When a loaded test tube floats vertically with $\frac{1}{3} and \frac{1}{4}$ of the lengths inside two liquids, then the ratio of the densities of the two liquids is

Moderate

A

3 : 4
B

4 : 3
C

9 : 16
D

16 : 2

Solution

$A \times \frac{l}{3} ρ_{1} g = A \times \frac{l}{4} ρ_{2} g or \frac{ρ_{1}}{ρ_{2}} = \frac{l}{4} \times \frac{3}{l} = \frac{3}{4}$

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