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    Three Charged Particles Injected into a Uniform Magnetic Field

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    Three charged particles are injected into a uniform magnetic field -- all of the particles have the same speed, but their masses and charges are different. Which of the following statements are true?

    1. (T/F) Particle #2 is negatively charged

    2. (T/F) If they all have the same mass, then particle #2 has the greatest charge (in magnitude)

    3. (T/F) Particle #3 is positively charged

    4. (T/F) Particles #1 and #2 definitely must have the same sign of charge

    5. (T/F) If they all have the same charge, then particle #1 has the greatest mass

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    Solution Preview

    Please refer to the attachment.

    Lorentz force formula : Force experienced by a charged particle (charge q) moving in a magnetic field B with a velocity v is given by : F = q(v X B) where F is the force vector, v is the velocity vector and B is the magnetic field vector.

    Magnitude of the force is given by F = qvBsinθ where θ is the angle between the vectors v and B. Direction of the force vector is given by the direction rule of vector (cross) multiplication of two vector say A and B which states as follows :

    O θ


    Direction of the vector A X B is obtained by imagining a screw placed at point O perpendicular to the plane of the two vectors and rotating it in the direction from the first vector (A here) ...

    Solution Summary

    This solution helps answer question regarding particles injected in a uniform magnetic field.