Question

The void ratio and porosity of a soil sample having equal volume of solids and volume of voids are

Void ratio	Porosity
A. 1	100%
B. 0.5	50%
C. 1	50%
D. 0.5	100%

1. A
2. B
3. C
4. D

Answer 1

Correct Answer - Option 3 : C

Explanation:

Void ratio: 

• It is the ratio of the volume of voids and the volume of solids in the soil.
• \(e = \;\frac{{{V_v}}}{{{V_s}}}\), e > 0, but there is no upper limit for void ratio.

Porosity: 

• It the ratio of the volume of voids and total volume of soil.
• \(n = \;\frac{{{V_v}}}{{{V_{}}}}\)

When, the volume of solids (V_s) = Volume of voids (V_v)

Void ratio (e) = 1, By putting the V_s = V_v in the above formula

And we know, Porosity

\(n = \;\frac{e}{{1 + e}}\) = \(n = \;\frac{1}{{1 + 1}}\) = 0.5 OR 50 %