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The frequency of revolution of the charged particles in a cyclotron does not depend upon their speed. Why? |
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Answer» The time t spent by a charged particle, of mass m and carrying a charge q, inside a dee of a cyclotron is independent of the radius of the path and the speed of the particle so long as m is constant. Then, the periodic time of the charged particle in its nearly circular path is T = 2t, and the frequency of revolution, f = \(\cfrac 1T\) = \(\cfrac 1{2t}\) = \(\cfrac{qB}{2\pi m}\) are also independent of the radius and the speed. |
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