Respuesta :
Answer:
Speed, [tex]v=\sqrt{\dfrac{2qV}{m}}[/tex]
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,
[tex]qV=\dfrac{1}{2}mv^2[/tex]
v is the speed with which the particles enter the cyclotron
So,
[tex]v=\sqrt{\dfrac{2qV}{m}}[/tex]
So, the speed with which the particles enter the cyclotron is [tex]v=\sqrt{\dfrac{2qV}{m}}[/tex]. Hence, this is the required solution.
