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Question

An electron is moving in a cyclotron at a speed of 3.2×107ms1 in a magnetic field of 5×104T perpendicular to it. What is the frequency of this electron?
(q=1.6×1019 C, me=9.1×1031kg)
  1. 1.4 X 105Hz
  2. 1.4 X107Hz
  3. 1.4 X 106Hz
  4. 1.4 X 109Hz

A
1.4 X 106Hz
B
1.4 X107Hz
C
1.4 X 105Hz
D
1.4 X 109Hz
Solution
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V=3.2×107ms1;B=5×104T

The frequency of electron is
v=qB2πm=1.6×1019×5×1042×3.14×9.1×1031

v=1.4×107Hz=14MHz

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