Two soil samples A and B have porosities nA = 40% and nB = 60% respectively. What is the ratio of void ratios eA/eB?
- A2/3
- B3/2
- C4/9Correct
- D9/4
Solution
Concept
Relation between porosity and void ratio
Formula
e = n / (1 − n)
Step-by-step solution
1. eA = 0.4/0.6 = 2/3. 2. eB = 0.6/0.4 = 3/2. 3. eA / eB = (2/3) / (3/2) = 4/9.
Explanation
Void ratio and porosity are related by e = n/(1 − n). Substitute for both samples and take the ratio.
Shortcut
e = n/(1 − n): 40% → 0.667, 60% → 1.5.
Common mistake
Taking the ratio of porosities (2/3).
Correct answer: C) 4/9