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A plastic sphere floats in water with 50% of its volume submerged. if it floats...

Physics
JAMB 2009

A plastic sphere floats in water with 50% of its volume submerged. if it floats in glycerine with 40% of its volume submerged,the density of the glycerine is?

  • A. 1400 kgm-3
  • B. 1250 kgm-3
  • C. 500 kgm-3
  • D. 1000 kgm-3
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Correct Answer: Option B
Explanation

Weight of glycerine displaced = weight of water dispalced
Mgh glycerine = Mgh water
Pvgh glycerine = Pvgh water
0.4V P glycerine = (0.5v)/v.4v P water = 1.25
(Polycerine)/p water =
But density of substance = relative density x density of water = 1. 25 x 1000kgm3 = 1250kgm-3

There is an explanation video available below.


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Explanation Video

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