Q. 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
Explanation
(d) Cyclotron frequency, $v = \frac{Bq}{2\pi m}$
$\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v = \frac{1 \times 1.6 \times 10^{- 19}}{2 \times 3.14 \times 9.1 \times 10^{- 31}}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 2.79 \times 10^{10}\ Hz\ \approx 28\ GHz$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.