A conducting ring of radius `'r'` is rolling without slipping with a constant angular velocity `omega` (figure). If the magnetic field strengh is `B` and is directed into the page the emf induced across `PQ` is

Options

A. (a) `Bomegar^(2)`
B. (b) `Bomegar^2/(2)`
C. ( c) `4Bomegar^(2)`
D. (d) `pi^(2)r^(2)Bomega/(8)`

Answer

A

Explanation

(a) `|vec(E)|`= Magnitude of I nduced `emf`
`= (Bl^(2))/(2)omega`, `l = dsqrt(2)r` (i)