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serious [3.7K]
3 years ago
5

Before entering the cyclotron, the particles are accelerated by a potential difference V. Find the speed v with which the partic

les enter the cyclotron. Express your answer in terms of V, m, and q.
Chemistry
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

Speed, v=\sqrt{\dfrac{2qV}{m}}

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,

qV=\dfrac{1}{2}mv^2

v is the speed with which the particles enter the cyclotron

So,

v=\sqrt{\dfrac{2qV}{m}}

So, the speed with which the particles enter the cyclotron is v=\sqrt{\dfrac{2qV}{m}}. Hence, this is the required solution.

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