(Solved): 4) Velocity selector: The figure shows a velocity selector that can be used to measure the speed of ...

4) Velocity selector: The figure shows 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 $2.0\mathrm{mm}$ and the value of the magnetic field is $0.60\mathrm{T}$, what voltage between the plates will allow particles of speed $5.0\times 10^5\mathrm{m}/\mathrm{s}$ to pass straight through without deflection? A) $94\mathrm{V}$ B) $600\mathrm{V}$ C) $1900\mathrm{V}$ D) $190\mathrm{V}$ E) $3800\mathrm{V}$