In a mass spectrometer, a single-charged particle (charge e) has a speed of 1.0 × 10 6 m/s and enters a uniform magnetic field of 0.20 T. The radius of the circular orbit is 0.020 m. What is the mass of the particle?

The mass is  

Explanation:

From the question we are told that

   The  speed of the charge is  

    The  magnetic field is  

     The radius is

      The value of the charge is  

The centripetal acting on the charge moving in the circular orbit is mathematically represented as

Now this centripetal force is due to the force exerted on the charge by the magnetic field on the charge which is mathematically represented as

At the maximum of this magnetic force

So  

Now given that it is this  magnetic force that is causing the circular motion we have that

=>    

=>    

substituting values

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