Suppose the three particles in the figure have the same mass and speed.Rank the

Question

Suppose the three particles in the figure have the same mass and speed.Rank the particles in order of decreasing magnitude of their charge.
Additional info. the three particles are a b and c, each are rays. they are set up on a grid of circles the magnetic field is directed to the right (like so... -->)
ray A begins at the left of the screen and has a steep incline.
ray B begins at the same place but doesn't have as steep of an incline
ray C begins the same place but goes right and then declines

Explanation / Answer

expression for the radius of the circle:

R=mv/qBsin.

This shows that if the speed and mass don’t change, the larger q will produce the smaller R because q is in the denominator. Smaller R means a “sharper” curve - like particle A. Look carefully at the curvature of the circles and be sure to pick the sharpest to go with the largest charge.

from what you've written:

charge of A > charge of B > charge of C

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