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,

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation:

temp rises, and expansion