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UPSC Civil Service Exam Questions - Engineering

Q1:

In a V-notch, an error of 1% in the measurement of head would constitute in the discharge measurement, an error of

A 1.0%

B 1.5%

C 2.0%

D 2.5%

ANS:D - 2.5%

Q = (8/15)cd tan theta/2 √(2g) H^2.5.

Let Q=kH^2.5.
Differentiation w.r.t head(H),
dQ=k 2.5 H^1.5 dH,
So, now (dQ/Q) = 2.5dH.