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  • In Exercise 4.11 obtain the frequency of revolution of the electron in its circular orbit. Does the answer depend on the speed of the electron? Explain

4.12) In Exercise 4.11 obtain the frequency of revolution of the electron in its circular orbit. Does the answer depend on the speed of the electron? Explain

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In exercise 4.11 we saw r=\frac{eB}{mv}

Time taken in covering the circular path once(time period (T))=\frac{2\pi r}{v} =\frac{2\pi m}{eB}

Frequency, \nu =\frac{1}{T}=\frac{eB}{2\pi m}

From the above equation, we can see that this frequency is independent of the speed of the electron.

\nu =\frac{1.6\times 10^{-19}\times 4.8\times 10^{6}}{2\pi \times 9.1\times 10^{-31}}=18.2 MHz

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