Q.75
Soil Science- ICAR JRF/SRF 2024
MCQ (Single Correct)
If the volume of soil solids is denoted as Vs and the volume of soil pores as Vf, which of the relationships between void ratio (e) and porosity (f) is correct
  • Definitions:
  • Volume of soil solids = $V_s$
  • Volume of soil pores = $V_f$
  • Total soil volume = $V_t = V_s + V_f$
  • Porosity ($f$) = $\frac{V_f}{V_t} = \frac{V_f}{V_s + V_f}$
  • Void ratio ($e$) = $\frac{V_f}{V_s}$
  • Derivation:
  • Dividing the numerator and denominator of $f$ by $V_s$:
$$f = \frac{\frac{V_f}{V_s}}{1 + \frac{V_f}{V_s}} = \frac{e}{1 + e}$$
  • Conversely, $e = \frac{f}{1 - f}$.
  • Conclusion: The relationship $f = \frac{e}{1 + e}$ is correct. (Correct answer: Option 4)
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