A metallic ring of radius a and resistance R is held fixed with its axis along a spatially uniform magnetic field whose magnitude is `B_(0)` sin `(omega t)`. Neglect gravity. Then,

Options

A. The current in the ring oscillates with a frequency of `2omega`
B. The joule heating loss in the ring is proportional to `a^(2)`
C. The force per unit length on the ring will be proportional to `B_(0)^(2)`
D. The net force on the ring is non-zero

Answer

C

Explanation

`(dF)/(dL)=B/R((dB.A)/dt)`
Where `B=B_(0)sinomegat`.