JAMB - Physics (2018 - No. 58)

A solid cube of side 50cm and mass 75kg floats in a liquid with \(\frac{1}{3}\) of its height above the liquid surface. The relative density of the liquid is?
0.33
0.50
0.67
0.90

Explanation

Volume of liquid displaced

 = \(\frac{2}{3}\)(0.5)\(^3\) = 0.0833cm3

  Mass of liquid displaced = mass of floating cube = 75kg

  Density of liquid = \(\frac{mass}{volume}\)

  = \(\frac{75}{0.0833}\) 

  = 900kgm\(^{-3}\)

  R.D of liquid = \(\frac{(900 )}{(1000)}\) 

  = 0.9

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