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What is cyclotron frequency of an electr...

What is cyclotron frequency of an electron with an energy of 100 eV in the earth's magnetic field of `1xx10^(-4)Wb//m^(2)` if its velocity is perpedicular to magnetic field.

A

0.7 MHz

B

2.8 MHz

C

1.4 MHz

D

2.1 MHz

Text Solution

Verified by Experts

The correct Answer is:
B

`E_(k) =100 e V, B=1 xx10^-4 T, v =? Q=e`
`v=(q B)/(2 pi m)`
`=(1.6xx10^-19xx1xx10^-4)/(2xx3.14xx9.1xx10^-31)=2.8MHz`
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