Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed `upsilon` in a uniform magnetic field B going into the plane of the paper (See figure.) If charge den- sities `sigma_1 and sigma_2` are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects.)

Options

A. `sigma_(1)=(-epsilon_(0)vB)/(2),sigma_(2)=(epsilon_(0)vB)/(2)`
B. `sigma=epsilon_(0)vB, sigma_(0)=-epsilon_(0)vB`
C. `sigma_(1)=(epsilon_(0)vB)/(2), sigma=(-epsilon_(0)vB)/(2)`
D. `sigma_(1)=sigma_(2)=epsilon_(0)vB`

Answer

B