Curvature radius of alpha and beta particles

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SUMMARY

The discussion focuses on calculating the curvature radius of alpha and beta particles moving through a 1.1T magnetic field with a kinetic energy of 35 keV. The beta particle, identified as an electron with a mass of 9.1094 x 10-31 kg, achieves a velocity of 1.1 x 108 m/s, while the alpha particle, a helium nucleus with a mass of 6.6447 x 10-27 kg, reaches a velocity of 1.299 x 106 m/s. The relationship between mass, velocity, charge, and magnetic field is established through the equation mv2/r = qvB, leading to the conclusion that understanding these parameters is essential for determining the curvature radius.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Familiarity with magnetic fields and Lorentz force
  • Knowledge of particle physics, specifically alpha and beta particles
  • Proficiency in algebraic manipulation of physics equations
NEXT STEPS
  • Study the derivation of the curvature radius formula for charged particles in magnetic fields
  • Learn about the Lorentz force and its applications in particle motion
  • Explore the concept of kinetic energy in relation to particle velocity
  • Investigate the properties and behaviors of alpha and beta particles in electromagnetic fields
USEFUL FOR

Students in physics, particularly those studying electromagnetism and particle dynamics, as well as educators seeking to clarify concepts related to charged particle motion in magnetic fields.

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Homework Statement


An alpha particle and beta particle, each with kinetic energy 35keV , are sent through a 1.1T magnetic field. The particles move perpendicular to the field.


Homework Equations



no idea.

The Attempt at a Solution



there's nothing on curvature radius in my textbook. from what i can find on the internet it has something to do with the velocity of each of the particles which i can find using the kinetic evergy and relevant masses.
a beta particle is just an electron, which has mass 9.1094*10-31, using the given energy, gives a velocity of 1.1*108m/s

an alpha particle is a helium nucleus, with mass 6.6447*10-27
giving a velocity of 1.299*106m/s

but i got no idea what to do with the figures..
 
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mv^2/r = qvB
mv = qrB
sqrt(2mE) = qrB

MASTERING PHYSICS SUCKS!
 
word. thanks bruh.
 

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