First slide

Fluid statics

Question

Two solids A and B float in a liquid. 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

${Vρ}_{A} g = {(V_{in})}_{1} ρ_{L} g {Vρ}_{B} g = {(V_{in})}_{2} ρ_{L} g \frac{ρ_{A}}{ρ_{B}} = \frac{{(V_{in})}_{1}}{{(V_{in})}_{2}} = \frac{\frac{1}{2}}{\frac{2}{3}} = \frac{3}{4}$

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