Last Updated On [03-11-2023]
A pair of infinitely long, counter-rotating line vortices of the same circulation strength $\Gamma$ are situated a distance $h$ apart in a fluid, as shown in the figure. The vortices will
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(A) rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
(B) rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to $\frac{\Gamma}{4 \pi h}$
(C) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
(D) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{4 \pi h}$
Question ID - 155370 :- A pair of infinitely long, counter-rotating line vortices of the same circulation strength $\Gamma$ are situated a distance $h$ apart in a fluid, as shown in the figure. The vortices will
(A) rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
(B) rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to $\frac{\Gamma}{4 \pi h}$
(C) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
(D) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{4 \pi h}$
A pair of infinitely long, counter-rotating line vortices of the same circulation strength $\Gamma$ are situated a distance $h$ apart in a fluid, as shown in the figure. The vortices will
(A) rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
(B) rotate counter-clockwise about the midpoint with the tangential velocity at the line vortex equal to $\frac{\Gamma}{4 \pi h}$
(C) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
(D) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{4 \pi h}$
(C) $\quad$ translate along $+y$ direction with velocity at the line vortex equal to $\frac{\Gamma}{2 \pi h}$
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