The streamlines of a potential line vortex is concentric circles with respect to the vortex center as shown in figure. Velocity along these streamlines, outside the core of the vortex can be written as, $v_{\theta}=\frac{\Gamma}{2 \pi r},$ where strength of the vortex is $\frac{\Gamma}{2 \pi}$ and $r$ is radial direction. The value of circulation along the curve shown in the figure is:

(A) $\Gamma$
(B) $-2 \Gamma$
(C) $2 \Gamma$
(D) 0

Question ID - 155883 :-

The streamlines of a potential line vortex is concentric circles with respect to the vortex center as shown in figure. Velocity along these streamlines, outside the core of the vortex can be written as, $v_{\theta}=\frac{\Gamma}{2 \pi r},$ where strength of the vortex is $\frac{\Gamma}{2 \pi}$ and $r$ is radial direction. The value of circulation along the curve shown in the figure is:

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