A) \[\frac{4}{3}\]
B) \[\frac{3}{4}\]
C) \[\frac{2}{3}\]
D) \[\frac{3}{2}\]
Correct Answer: B
Solution :
: For solid P, Let \[{{V}_{p}}\] and \[\rho p\] be volume and density of solid P respectively As the solid P is floating in water, \[\therefore \] Weight of P = weight of water displaced By P \[{{V}_{p}}{{\rho }_{p}}g=\frac{{{V}_{p}}}{2}{{\rho }_{water}}g\] \[{{\rho }_{p}}=\frac{1}{2}{{\rho }_{water}}\] ??.(i) Similarly, for solid Q \[{{V}_{Q}}{{\rho }_{Q}}g=\frac{2}{3}{{V}_{Q}}{{\rho }_{water}}g\] \[{{\rho }_{Q}}=\frac{2}{3}{{\rho }_{water}}\] ????..(ii) Divide (i) by (ii), we get \[\frac{{{\rho }_{p}}}{{{\rho }_{Q}}}=\frac{3}{4}\]You need to login to perform this action.
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