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UPSC Civil Service Exam Questions - Engineering

Q1:

Two reservoirs are connected by two pipes A and B of same and length in series. If the diamerer of A is 30% larger than that of B, what is the ratio of head loss in A to that of B ?

A 0.77

B 0.59

C 0.50

D 0.27

ANS:D - 0.27

A is correct answer.

Head loss HL =(fLv^2/2gd).
V = Q/A.
Head loss is inversely proportional to 1/d^5.
(HLa/HLb)= (1/1.3 ) *1 =.77.