Question

A block of wood of length $50cm$ and area of cross-section $10c{m}^2$, floats in water with $3/5$ of its length above water.
Calculate density of wood in $gc{m}^{-3}$.

• A. 0.2
• B. 1.4
• C. 0.3
• D. 0.4

Answer 1

The correct option is D 0.4

$\text{Acc. to Archemedes principal}$

${\rho }_{w}g\times v={\rho }_{\ell }g\times v_i$

${\rho }_w\times v=1\times \frac{2v}{5}$

${\rho }_w=0.40$

$\text{Answer-}\left(D\right)$