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

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
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

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