Acharged particle enters a uniform magnetic field b with a velocity v at right angles to the field. it moves in a circle with period t. if a second particle, with the same electric charge but ten timesas massive, enters the field with the same velocity v, what is its period?

10T

Explanation:

The radius (r) of a charged particle that moves in a circle in a magnetic field is:

      (1)

where m: is the particle's mass, v: is the speed of the particle, q: is the charge of the particle and B: is the strength of the magnetic field.

The period (T) of the charged particle is related to its radius by the following equation:

   (2)

By entering equation (1) into (2) we have:

                    (3)

Therefore, from equation (3) we have that if the mass increases by a ten factor, the period will increase in the same factor since they are proportional to each other.      

I hope it helps you!            

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