**96) Find the value of the void ratio if the ratio of saturated unit weight to dry unit weight is equal to 1.2 & the specific gravity of solids is 2.65.**

- a) 0.58
- b) 0.66
- c) 0.53
- d) 0.94

**Answer: c) 0.53**

Explanation:

Given Data:• The ratio of saturated unit weight to dry unit weight, γ (sat.) / γd = 1.2

• The specific gravity of solids, G = 2.65

Solution:Saturated density of soil is,

γ(sat.) = {(G + e) / (1+e)} γw….(i)Dry density of soil is,

γd = (G/ 1+e) γw…(ii)Take the ratio of (i) & (ii), we will get,

γ(sat.) / γd = {[(G + e) / (1+e)] γw } ÷ [(G/ 1+e) γw]γ(sat.) / γd = (G + e) / e

γ(sat.) / γd = (G + e) / e =1.2 ….(given in numerical)

(G + e) / e =1.2

After simplifying the above the equation, we will get,

e = (1.2 x G) – G

e = (1.2 x 2.65) – 2.65

e = 0.53.