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AIIMS 2004

Exam: AIIMS
Year: 2004
Subject: Physics
Chapter: Magnetic Effects of Current

AIIMS 2004 · Physics · Magnetic Effects of Current

The cyclotron frequency of an electron gyrating in a magnetic field...

The cyclotron frequency of an electron gyrating in a magnetic field of

1 \mathrm{~T}

is approximately

Options

A $28 \mathrm{MHz}$
B $280 \mathrm{MHz}$
C $2.8 \mathrm{GHz}$
D $28 \mathrm{GHz}$ .

Correct answer

D. $28 \mathrm{GHz}$ .

Step-by-step solution

Cyclotron frequency

\begin{aligned}v=\frac{q B}{2 \pi m}& =\frac{1.6 \times 10^{-19} \times 1}{2 \times 3.14 \times 9.1 \times 10^{-31}}\\ & =28 \times10^9 \mathrm{~Hz}=28 \mathrm{GHz} . \end{aligned}

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