Question

The density of wood is X $gc{m}^{-3}$. Find [10X].{ Where , [] is a step function}

• A. $5$
• B. $6$
• C. $0$
• D. $7$

Answer 1

Answer: (B)

$6$

Let the densities of water, wood and spirit are $\rho ,{\rho }_w,{\rho }_s$
Let $A$ be the area of the wooden block
Total volume of the wooden block $=15A$
Mass of wood = mass of water displaced by wood
$V\times {\rho }_w\times g=A\times 10\times \rho \times g$
$\Rightarrow {\rho }_w=\frac{A\times 10\times \rho \times g}{V\times g}$ $=0.667g/c{m}^3$