In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region un-deflected. Consider such a velocity selector in a mass spectrometer with a 0. 095 T magnetic field. Required:
a. What electric field strength, in volts per meter, is needed to select a speed of 4.2 x 10^6 m/s.
b. What is the voltage, in kilovolts, between the plates if they are separated by 0.95 cm'?