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 – 1250 kgm‾³

Explanation

Weight of glycerine displaced = weight of water displaced
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