Magnetic Effects Of Current Question 349

Question: The cyclotron frequency of an electron grating in a magnetic field of 1 T is approximately [AIIMS 2004]

Options:

A) 28 MHz

B) 280 MHz

C) 2.8 GHz

D) 28 GHz

Show Answer

Answer:

Correct Answer: D

Solution:

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}H_{z} $ $ =27.9\times 10^{9}HZ\cong \ 28\ GHZ $