The radius of curvature of a charged particle's passage in a homogeneous magnetic field is proportional to: 

The correct answer is momentum of particle.

Key Points

• Radius of curvature of a charged particle's passage:-
  • The radius of curvature of a charged particle's passage in a homogeneous magnetic field is directly proportional to the momentum of the particle.
  • This is because the magnetic force acting on the charged particle is perpendicular to both the direction of the magnetic field and the direction of the particle's velocity. This force causes the particle to move in a circular path with a radius proportional to its momentum.

Additional Information

• The energy of the particle and the charge of the particle do not affect the radius of curvature in a homogeneous magnetic field.
• The strength of the magnetic field does affect the radius of curvature, but it is indirectly proportional rather than directly proportional. This means that as the magnetic field strength increases, the radius of curvature decreases.
• It is important to note that this relationship only holds true for a homogeneous magnetic field, where the field strength is constant throughout the region of interest.