Question

A Bainbridge mass spectrometer separates ions according to their mass-to-charge ratio. The ions first pass through a velocity selector with perpendicular electric and magnetic fields in which only ions with a particular velocity can pass through in a straight line (not a complex drift). Find the magnitude of the velocity that is "selected," in terms of the applied E and B fields. Note that this is a special case of the general E x B drift. Photographic film Χ Χ Χ Χ B - - - - XXXX XXXX X X X X Тв Velocity selector

For study purpose, please explain every step, clear handwriting is appreciated.

Answer 1

ILU The magnetic force of the Charge Em = a (FB) 1 Fml = avB (since it i ) & the direction Fleming's left hand pule , in our case which is upwards along the page & the magnitude of Electro Static force, Fe = at which is down words along the page in a Ions can pass through Straight line if 1 Fe = fm 7 nE=aub which is the required Condition.