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UPSC Civil Service Exam Questions - Engineering

Q1:

A clay layer 5 m thick in field takes 300 days to attain 50% consolidation with condition of double drainage. If the same clay layer is underlain by hard rock then the time taken to attain 50% consolidation will be

A 300 days

B 600 days

C 900 days

D 1200 days

ANS:D - 1200 days

T=(Cv * t)/d^2.

T=Constant ,Cv = Constant.

Now,
t1 = 300
D1 = H/2 - for double drainage
t2 = ?
H = 5
D2 = H - for single drainage.

300/(5/2)^2 = t2 / 5^2,
t2=(300* 4 * 25)/25.
t2 = 1200.