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UPSC Civil Service Exam Questions - Engineering

Q1:

If the stream function ψ = 3x2 - y3, what is the magnitude of velocity at point (2, 2) ?

A 9

B 13

C 15

D 17

ANS:D - 17

U =-dw/dy = 3y^2 = 3*2^2 = 12.
V = dw/dx = 6x = 6*2 = 22.
Magnitude = u^2 + v^2.
= 16.97 = 17.