Question

The void ratio of a given soil A is twice that of another soil B, while the effective size of particles of soil A is one-third of that of soil B. The ratio of height of capillary rise of water in soil A to that in soil B will be

• A. 0.67
• B. 1.0
• C. 1.5
• D. 2.0

Answer 1

The correct option is C 1.5

Ther empirical formula for capillary height is

$h=\frac{C}{e{D}_{10}}$

$\Rightarrow \frac{h_A}{h_B}=\frac{e_B(D_{10}{)}_B}{e_A(D_{10}{)}_A}=\left(\frac{e_B}{e_A}\right)\times \left(\frac{D_{10B}}{D_{10A}}\right)$

$=\frac{1}{2}\times 3=1.5$