First slide

Force on a charged particle moving in a magnetic field

Question

The cyclotron frequency of an electron moving in a magnetic field of 1 T is approximately

Easy

A

28 MHz
B

280 MHz
C

2.8 GHz
D

28 GHz

Solution

Cyclotron frequency, $v = \frac{Bq}{2 πm}$
$\begin{array}{l} \Rightarrow v = \frac{1 \times 1 .6 \times 10^{- 19}}{2 \times 3 .14 \times 9 .1 \times 10^{- 31}} = 2 .79 \times 10^{10} Hz \\ = 27 .9 \times 10^{9} Hz ≅ 28 GHz \end{array}$

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