If a negatively charged particle enters a region of uniform magnetic field which is perpendicular to the particle's velocity, will the kinetic energy of the particle increase, decrease, or stay the same?

The magnetic field cannot do anything to the particles entering them. hence the magnetic force is always perpendicular o the particular velocity.

Hence the option that stays the same is correct.

Learn more about the charged particle entering a region of the uniform magnetic field.

Same

Explanation:

While moving through a magnetic field in a direction perpendicular to a B-field, a continuous force experienced by a charged particle. If this magnetic field remains uniform, the force exerted also remains same and hence the velocity with which the particle is moving remains same. However, the particle is forced to move on a curved path until it forms a complete circle.

Hence, the kinetic energy remains the same because the speed is same