First slide

Fluid statics

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

Easy

A

4:3
B

2:3
C

3:4
D

1:3

Solution

$V_{1} \times d_{1} = \frac{1}{2} V_{1} \times 1 or d_{1} = \frac{1}{2} V_{2} \times d_{2} = \frac{2}{3} V_{2} \times 1 or d_{2} = \frac{2}{3} ∴ d_{1} / d_{2} = 3 : 4$

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