• # question_answer A solid P floats with half of its volume immersed in water and solid Q floats with two-thirds of the volume immersed in water. The densities of solider P and Q are in ratio: A) 1 : 2                             B) 1 : 3C) 2 : 3                             D) 3 : 4

Weight of solid $P,{{W}_{p}}=$ weight of water displaced $=\frac{1}{2}\,\,{{V}_{p}}\times {{10}^{3}}\times 9.81\,N$ Weight of solid $Q,\,{{W}_{Q}}=\frac{1}{2}\,{{V}_{Q}}\times {{10}^{3}}\times 9.81\,N$ ${{\rho }_{P}}=\frac{{{W}_{p}}}{9.81\,{{V}_{p}}}=\frac{1}{2}\times {{10}^{3}}$ ${{\rho }_{Q}}=\frac{{{W}_{Q}}}{9.81\,{{V}_{p}}}=\frac{1}{2}\times {{10}^{3}}$ $\frac{{{\rho }_{p}}}{{{\rho }_{Q}}}=\frac{1}{2}\times \frac{3}{2}=\frac{3}{4}$ or 3 : 4