A circular conducting ring of radius 'a' is rolling with slipping on a horizontal surface as shown. A uniform magnetic field B is existing perpendicular to the plane of motion of the ring. The emf iniduced between the points A and D of the ring is

Options

A. `Bomegaa^(2)`
B. `2Bomegaa^(2)`
C. `4Bomegaa^2`
D. `6Bomegaa^(2)`

Answer

B

Explanation

The emf induced between the point A and D is
`epsilonvecB.(vecl_(eff)xxvecv)`
`=Basqrt(2)vsin45^(@)`
`=Basqrt(2)(v)/(sqrt(2))=Bva=2Bomegaa^(2)`