First slide

Pressure in a fluid-mechanical properties of fluids

Question

Two solids A and B float in water. It is observed that A floats with half its volume immersed and B floats with 2/3 of its volume immersed. Compare the densities of A and B

Moderate

A

4 : 3
B

2 : 3
C

3 : 4
D

1 : 3

Solution

If two different bodies A and B are floating in the same liquid then $\frac{ρ_{A}}{ρ_{B}} = \frac{{(f_{in})}_{A}}{{(f_{in})}_{B}} = \frac{1 / 2}{2 / 3} = \frac{3}{4}$

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