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UPSC Civil Service Exam Questions - Engineering

Q1:

A hydraulic model of a spillway is constructed with a scale 1 : 16. If the prototype discharge is 2048 cumec, then the corresponding discharge for which the model should be tested is

A 1 cumec

B 2 cumec

C 4 cumec

D 8 cumec

ANS:B - 2 cumec

The concept is a dimension analysis.

Discharge is directly proportional to length^(5/2).
(Q model/Q prototype) = ( L model/L prototype)^(5/2).