Question

particles of various masses, charges, and speeds are injected into a region in which a uniform field and a uniform field are perpendicular to each other. all the particles are initially moving in the same direction. which two conditions must be simultaneously fulfilled for the particles to continue moving in a straight line after entering the region?

Answer 1

The two conditions that must be simultaneously fulfilled for the particles to continue moving in a straight line after entering the region are:

1. The direction of the initial velocity of the particles must be perpendicular to both the magnetic and electric fields.
2. The Lorentz force experienced by the particles due to the magnetic and electric fields must be equal and opposite to the initial force that caused the particles to move in the first place.

The Lorentz force is given by the equation F = q(E + v x B), where F is the force, q is the charge of the particle, E is the electric field, v is the velocity of the particle, and B is the magnetic field. If the Lorentz force is equal and opposite to the initial force, then the particles will continue to move in a straight line.