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: 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
