Question

Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.60 x 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0400 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.50 x 10-26 kg. Bo, in * * * * * x * * * * * x * * * X X x X * X * X -- x + - x + Detector array x * + x xxx * + x * + Velocity selector

Answer 1

The speed of the singly charged ion is, 2.60 x10 V/m 0.0400 T = 6.50x10* m/s The radius of the circular path of a singly charged ion is, Rmv Вq (2.50x 10-20 kg)(6.50x104m/s) (0.0400T)(1.60x10-1C) = 0.254 m