Acharged particle is injected at 211 m/s into a 0.0633‑t uniform magnetic magnetic field perpendicularly to the field. the diameter of its orbit is measured and found to be 0.0389 m. what is the charge–to–mass ratio of this particle?

Explanation:

For this problem we need the concept about Force in a Magnetic field,

For definition we know that

Where v is the velocity, m the mass and r the radius or distance between the two points.

We know as well that

where q is the charge of a proton

v the velocity and B the magnetic field, then matching the two equation,

Re-arrange for q/m (charge to mass ratio)

Our values are,

Substituting,

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