Before entering the cyclotron, the particles are accelerated by a potential difference v. find the speed v with which the particles enter the cyclotron. express your answer in terms of v, m, and q.

Speed,

Explanation:

The device which is used to accelerate charged particles to higher energies is called a cyclotron. It is based on the principle that the particle when placed in a magnetic field will possess a magnetic force. Just because of this Lorentz force it moves in a circular path.  

Let m, q and V are the mass, charge and potential difference at which the particle is accelerated.

The work done by the particles is equal to the kinetic energy stored in it such that,

v is the speed with which the particles enter the cyclotron

So,

So, the speed with which the particles enter the cyclotron is . Hence, this is the required solution.

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