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A solid cube of side 50cm and mass 75kg floats in a liquid with \(\frac{1}{3}\)...

Physics
JAMB 2018

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?

  • A. 0.33
  • B. 0.50
  • C. 0.67
  • D. 0.90
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Correct Answer: Option D
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

There is an explanation video available below.


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Explanation Video

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