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Question: Answered & Verified by Expert
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 $B$
PhysicsMechanical Properties of FluidsJEE Main
Options:
  • A $4: 3$
  • B $2: 3$
  • C $3: 4$
  • D $1: 3$
Solution:
2178 Upvotes Verified Answer
The correct answer is: $3: 4$
If two different bodies $A$ and $B$ are floating in the same liquid then $\frac{\rho_A}{\rho_B}=\frac{\left(f_in\right)_A}{\left(f_in\right)_B}=\frac{1 / 2}{2 / 3}=\frac{3}{4}$

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