Question

A cyclotron when being used to accelerate positive ions?(mass=6.7 into 10^-27,charge=3.2 into 10^-19 C) has magnetic field of pi/2 T. What must be the value of the frequency of the applied alternating electric field to be used in it?

Answer 1

$$\begin{gathered} Thefrequency\upsilon ofappliedA.C.currect=\frac{Bq}{2\pi m}. \\ m=6.7\times {10}^{-27}Kg\left(presumedunitisinKg\right),q=3.2\times {10}^{-19}C,B=\frac{\pi }{2}.Therefore, \\ frequency\upsilon =\frac{\pi \times 3.2\times {10}^{-19}}{2\times 2\times \pi \times 6.7\times {10}^{-27}}=\frac{8}{67}\times {10}^8=0.12\times {10}^8=1.2\times {10}^{7}Hz. \end{gathered}$$