Question

The velocity induced at a point \(P\) by the semi-infinite vortex filament is

• A. \(\dfrac{\Gamma}{4 \pi R}\)
• B. \(\dfrac{\Gamma}{2 \pi R}\)
• C. \(\dfrac{\Gamma}{\pi R}\)
• D. \(\dfrac{2 \Gamma}{\pi R}\)

Hint:

Use Biot–Savart law to evaluate induced velocities from vortex filaments.

Answer 1

The Correct Option is A

The Biot–Savart law gives the velocity induced by a semi-infinite vortex filament at a perpendicular distance \(R\).