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

Answer

b