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Civil Engineering : Soil Mechanics - Quiz(MCQ)
The minimum possible void ratio of uniformly graded spherical grains is _______
A)
0.20
B)
0.25
C)
0.30
D)
0.35

Correct Answer :   0.35


Explanation : Consider a unit cube of soil having spherical particles of diameter d.
Volume of the solids Vs= (π/6)=0.5236
The total volume V=(1-cosα)*(√(1+2cosα))
Minimum void ratio is possible in densest state with α=60°
∴ V=(1-cos60°)*(√(1+2cos60°))
V=0.7071
Volume of the voids Vv=V-Vs=0.7071-0.5236
Vv=0.1835
Voids ratio e= Vv/ Vs=0.1835/0.5236
∴ e=0.35.

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