Two positive charges enter the field (B = 0.500 T) below from the left, and a negative charge enters it from the right; they all have identical speeds of 25.0 E6 m/s. The negative charge has the same mass as one of the positive charges, but the other positive charge is much more massive than the others.

A. True

B. False

the true claims

Explanation:

Electric charges obey Newton's second law

F = m a

where the acceleration is centripetal and the force is magnetic

F = q v x B

a = v² / r

we substitute

q v x B = m a

Suppose the magnetic field is perpendicular to the velocity, so the modulus of the vector product is

q v B = m v² / r

r = mv / qB

We see that the radius of the orbit depends on the mass, so if one of the particles has a greater mass, the radius of its orbit is greater and those of the same mass have identical radii of orbit.

therefore the radius of the negative particle must be equal to that of a positive charge and the other positive charge must have a much greater radius

the true claims