Question

The cyclotron frequency of an electron grating in a magnetic field of $1 \,T$ is approximately

• A. 28 MHZ
• B. 280 MHZ
• C. 2.8 GHZ
• D. 28 GHZ

Answer 1

Answer: (D)

28 GHZ

Answer 2

For a cyclotron, frequency is given by,
$v=\frac{ Be }{2 \pi m _{ e }}=\frac{1 \times 1.6 \times 10^{-19}}{2 \pi \times 9.1 \times 10^{-31}}$
$=28 \times 10^{9} \,Hz =28\, GHz$