Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed $v$ in a uniform magnetic field $B$ directed into the plane of the paper (See figure). If charge densities $\sigma_1$ and $\sigma_2$ are induced on the left and right surfaces,respectively,of the sheet,then (ignore fringe effects):

• A
  $\sigma_1 = \frac{-\epsilon_0 vB}{2}, \sigma_2 = \frac{\epsilon_0 vB}{2}$
• B
  $\sigma_1 = \epsilon_0 vB, \sigma_2 = -\epsilon_0 vB$
• C
  $\sigma_1 = \frac{\epsilon_0 vB}{2}, \sigma_2 = \frac{-\epsilon_0 vB}{2}$
• D
  $\sigma_1 = \sigma_2 = \epsilon_0 vB$