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UPSC Civil Service Exam Questions - Engineering

Q1:

Consider the following statements in relation to the given sketch :
1. Soil is partially saturated at degree of saturation = 60%
2. Void ratio = 40%
3. Water content = 30%
4. Saturated unit weight = 1.5 g/cc
Of these statements :

A 1, 2 and 3 are correct

B 1, 3 and 4 are correct

C 2, 3 and 4 are correct

D 1, 2 and 4 are correct

ANS:A - 1, 2 and 3 are correct

e = volume of void / volume of solid
= (0.2 + 0.3) / 0.5 = 1 x 100 = 100%.

Sr = Vw / Vv = 0.3 / 0.5 = 0.6 x 100 = 60%
w = Ww / Ws = 0.3 / 1 = 0.3 x 100 = 30 %.

G = ( Sr x e) / w = (0.6 x 1) / 0.3 = 2.

Ysat = Yw x (G + e) / (1 + e) = 1 x (2 + 1) / (1+1).
= 1.5 g/cc.
So, option B is Right.