COMEDK · Physics · 11. Mechanical Properties of Fluids
A wooden block floats with \(\dfrac{3}{5}\) of its volume submerged in a tank of water. If a denser liquid is poured into the tank, the wooden block floats with half its volume in the liquid and the remaining half in water. The relative density of the liquid is:
- A \(\dfrac{1}{5}\)
- B \(\dfrac{1}{3}\)
- C \(\dfrac{1}{2}\)
- D \(\dfrac{1}{6}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{1}{5}\)
Step-by-step Solution
Detailed explanation
Let \(V\) be the volume of the wooden block and \(\rho_{w}\) be the density of water. Let \(\rho_{b}\) be the density of the block and \(\rho_{l}\) be the density of the denser liquid. In the first case, the block floats in water. By the principle of flotation, the weight of the…
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