Question

A wooden plank immerses upto $50\%$ in water. Then ___________$\%$ of it is immersed in a liquid of density $0.5gc{m}^{-3}$

Answer 1

Fraction of floating object in liquid of density $D$ and density of object is $d=\frac{D-d}{D}$

$\therefore \frac{D-d}{D}=\frac{1}{2}$

$\therefore d=\frac{D}{2}$

$\because D_{water}=1gc{m}^{-3}$

According to question

$D=0.5gc{m}^{-3}$

$\therefore d=\frac{D}{4}$

$\therefore \%=\frac{D-\frac{D}{4}}{D}\times 100=75\%$