In a uniform magneitc field of induced B a wire in the form of a semicircle of radius r rotates about the diameter of hte circle with an angular frequency `omega`. The axis of rotation is perpendicular to hte field. If the total resistance of hte circuit is R, the mean power generated per period of rotation is

Options

A. `(Bpi r^2 omega)/(2R)`
B. `((B pi r^2 omega)^2)/(8R)`
C. `((B pi r omega)^2)/(2R)`
D. `((B pi r omega^2)^2)/(8R)`

Answer

B

Explanation

`((B pi r^2 omega)^2)/(8R)`