Q 11-09-014NEETJEE MainMedium
A wooden block floats in water with $\dfrac{2}{3}$ of its volume submerged. In a liquid X it floats with $\dfrac{5}{6}$ of its volume submerged. The density of liquid X is
Answer: (A) $800$ kg m$^{-3}$
Density of block $= \dfrac{2}{3} \times 1000 \approx 667$ kg m$^{-3}$.
In X: $\rho_X \times \dfrac{5}{6} = 667$, so $\rho_X = 800$ kg m$^{-3}$.
Solution by Sreeraj P, M.Sc Physics