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UPSC Civil Service Exam Questions - Engineering

Q1:

For stream function ψ = 3x2 - y3, the magnitude of velocity at the point (2, 1) is

A 12.37

B 12

C 13

D 13.5

ANS:A - 12.37

u = -3y^2,
v = 6x.

Magnitude at (2 , 1) = √(u^2+v^2).
= √(12^2 + 3^2),
= √(153) = 12.37.