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UPSC Civil Service Exam Questions - Engineering

Q1:

Following data are given for two soil samples A and B :
Sample A : Void ratio = 1, total volume = 1 m3
Sample B : Void ratio = 2, total volume = 1 m3.
The two samples are mixed and compacted in a mould to a volume of 1 m3. Which one of the following figures correctly indicates the porosity of the compacted soil ?

A 17%

B 54%

C 60%

D 83%

ANS:A - 17%

e = Vv/Vs
e*Vs = Vv.
V = Vs + Vv.
V = Vs + e*Vs.
V = Vs(1 + e).
Vs = V/(1 + e).