8.. Consider a mixture of hydrogen and deuterium ions entering horizontally into a region between two charged metal plates where, aside from the electric eld of the capacitor plates, E, there is also a constant magnetic eld B' directed into the paper (X). This B' comes from two coils placed outside of the vacuum tube. The entering ions have a range of different velocities, v', with different horizontal components, v', as shown. Consider the mass of deuterium equal to 2 proton masses, but its charge is e+. (a)(5pts) The ions moving out of the velocity selector in the horizontal direction all have the same direction and magnitude, V, even though their masses are different. Why doesn't this affect the exiting velocity? If B = 1.7 Tesla (inside the velocity selector) and E = 1.45 105 V/m nd the selected velocity, v of the exciting mixture of ions. _ _ _ _ 0+ B\" . e+ 9v velocity selector All v's have different entering the Velocity selector have different values, mass spectrometer but only one horizontal v comes out of the velocity selector (b)(5pts) After leaving the above velocity selector, the ions enter a constant magnetic eld of a mass spectrometer whose magnetic eld B\" = 0.025 T with the same velocity you found in (a) above. (Note B\" is directed out of the paper Find the radii of the orbits of the proton and deuteron. Take the mass of the deuteron as twice the mass of the proton. (You should nd the radius of each particle so that you can calculate the separation on the semi-circle of the photographic plate they strike.)