Question

If the gross weight of the soil = W and the weight of solid particles = W_S, then the value of water content will be -
1. (W / W_S) - 1
2. 1 + (W / W_S)
3. 1 - (W / W_S)
4. (W_S / W) + 1

Answer 1

Correct Answer - Option 1 : (W / W_S) - 1

Concept:

It is the ratio of weight of water (W_w) to the weight of solid (W_s) of the sample.

\(W=\dfrac{W_W}{W_S}\)

Total weight of soil = W = (W_w + W_s)

Hence, weight of water = (W - W_s) put in above equation

\(W=\dfrac{W-W_S}{W_S}\)

∴ \(W=\dfrac{W}{W_S}-1\)