Question

The natural void ratio of a sand sample is 0.6 and its density index is 0.6. If its void ratio in the loosest state is 0.9, then the void ratio in the densest state will be

• A. 0.2
• B. 0.3
• C. 0.4
• D. 0.5

Answer 1

The correct option is C 0.4

(c)
Relative Density Index

$\frac{e_{max}-e}{e_{max}-e_{min}}=0.6$

Void ratio in loosest state,

$e_{max}=0.9$

Void ratio in natural state,

e = 0.6

$\therefore 0.9-e_{min}=\frac{0.9-0.6}{0.6}$

$e_{min}=0.9-0.5=0.4$