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​A block of wood floats on water, with 65% of its volume under water. Its d
Question

A block of wood floats on water, with 65% of its volume under water. Its density (in kg/m3) is approximately:\text{A block of wood floats on water, with } 65\% \text{ of its volume under water. Its density (in } kg/m^3 \text{) is approximately:}​​

A.

0.25×1020.25 \times 10^2​​

B.

0.35×1020.35 \times 10^2​​

C.

0.55×1030.55 \times 10^3​​

D.

0.65×1030.65 \times 10^3​​

Correct option is D

We use the principle of flotation, which states that:Density of the object=Fraction of volume submerged×Density of fluidGiven Data: Fraction of volume submerged=65%=0.65 Density of water=1000 kg/m3Applying the formula:ρwood=0.65×1000ρwood=650 kg/m3Thus, the density of the wood is 0.65×103 kg/m3.\text{We use the \textbf{principle of flotation}, which states that:} \\\text{Density of the object} = \text{Fraction of volume submerged} \times \text{Density of fluid} \\\textbf{Given Data:} \\\begin{array}{ll}\bullet \text{ Fraction of volume submerged} = 65\% = 0.65 \\\bullet \text{ Density of water} = 1000 \, \text{kg/m}^3\end{array} \\\textbf{Applying the formula:} \\\rho_{\text{wood}} = 0.65 \times 1000 \\\rho_{\text{wood}} = 650 \, \text{kg/m}^3 \\\text{Thus, the density of the wood is } 0.65 \times 10^3 \, \text{kg/m}^3.​​

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