In Figure $27\mathrm{.}1$ is a velocity selector that can be used to measure the speed of a charged particle. A beam of particles is directed along the axis of the instrument. A parallel plate capacitor sets up an electric field E which is oriented perpendicular to a uniform magnetic field B$.$ If the plates are separated by $2$ mm and the value of the magnetic field is $0\mathrm{.}1$ T $,$ what voltage between the plates will allow particles of speed $5$x$10^(5)$m$//$s to pass straight through without deflection?

A$)16$ V

B$)310$ V

C$)630$ V

D$)32$ V

E$)100$ V

V$=5(10^(5))$m$//$s

plate separition $2$ mm

B$=0\mathrm{.}1$ T