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ExamsGATETechnical

A cohesionless soil has $e_{\max} = 0.85$ and $e_{\min} = 0.50$. In the field, the soil is compacted to a mass density of 1800 kg/m$^3$ at a water content of 8%. Take the mass density of water as 1000 kg/m$^3$ and $G_s = 2.7$. The relative density, in %, of the soil is

  1. 56.43
  2. 60.25
  3. 62.87
  4. 65.71

Correct answer: 56.43

Solution

Relative density depends on the in-situ void ratio compared with the loosest and densest states. After finding the dry density and corresponding void ratio, substituting into $D_r = \frac{e_{\max}-e}{e_{\max}-e_{\min}}\times 100$ gives 56.43%.

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