A mass spectrometer separates charge massive particles from each other by using

Question

A mass spectrometer separates charge massive particles from each other by using a uniform magnetic field to cause the particles to travel along circuit arcs that depend on the amount of mass and charge. The particles enter the field with the same velocity. After running an experiment, you find that the particle you were studying land on two spots, one corresponds to arc that has twice the radius of the other. If the particle carried the same charge, what can you deduce about the relationship between their masses? Make sure to justify your answer.

Explanation / Answer

Here ,

as the radius of path in magnetic field B is given

Radius , R = mass * velocity/(charge * B)

as the velocity , charge and magnetic field is same for two particle

the radius of path will depend on the mass of particle directly

as the radius of one is twice the other ,

the mass of particle with smaller radius is half the other particle

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