Discussion
Statement I: Circulation is an integral quantity around a closed curve.
Statement II: Vorticity is a local quantity defined at a point.
In the light of the above statements, choose the correct answer.
Answer: A
Both statements are correct, and Stokes' theorem connects them: the circulation around a curve equals the integral of the vorticity over any surface bounded by it. That connection is what allows a theorem about the circulation around a material loop to be translated into a statement about the vorticity of the enclosed fluid, which is how Kelvin's and Bjerknes' results are applied in practice.
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