Consider the mass spectrometer shown schematically in the figure below. The magn

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 2.60 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.040 0 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.20 10-26 kg.

Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.60 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.040 0 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.20 10-26 kg. 22-12.gif

Explanation / Answer

speed

v=E/B =(2.6*103)/(0.04

v=65,000 m/s

Centripetal force =magnetic force

mv2/r =qvB

==>r=mv/qB =(2.2*10-26)(65000)/(1.6*10-19)*0.04

r=0.2234 m

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