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A uniform cylindrical block of wood floats in water with one-third of its height above...

Physics
JAMB 1985

A uniform cylindrical block of wood floats in water with one-third of its height above the water level, in a liquid of relative density 0.8, what fraction of its height will be above the liquid level?

  • A. \(\frac{1}{6}\)
  • B. \(\frac{1}{5}\)
  • C. \(\frac{1}{3}\)
  • D. \(\frac{4}{5}\)
  • E. \(\frac{5}{6}\)
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Correct Answer: Option A
Explanation

 A floating body displaces its own weight of the liquid in which it floats.

i.e mass of block = mass of water = mass of liquid 

let the fraction of the volume of the block in liquid be q

\(\frac{2}{3}\)V x 1 = Vq X 0.8

q = \(\frac{2V}{2.4V}\) = \(\frac{5}{6}\)

Therefore, the fraction of the height above the liquid level is (1–\(\frac{5}{6}\)) = \(\frac{1}{6}\).

 

 


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