A velocity selector is used in accelerator mass spectrometry to select particles

Question

A velocity selector is used in accelerator mass spectrometry to select particles based on their speed. The velocity selector is composed of orthogonal electric and magnetic fields, such that particles with the correct charge to mass ratio and speed will be unaffected, and other particles will be deflected.

A charged particle moves through the velocity selector at a constant speed in a straight line. The electric field of the velocity selector is 100 N/C, while the magnetic field is 15 T. What is the resultant velocity of the undeflected particle?

Explanation / Answer

Here ,

electric field , E = 100 N/C

magnetic field , B = 15 T

let the speed of particles is v

for undeflected particles

q * E = q * v * B

100 = v * 15

v = 6.67 m/s

the resultant velocity of the undeflected particle is 6.67 m/s

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