Curvature radius of alpha and beta particles

In summary, an alpha particle and beta particle with 35keV kinetic energy each are sent through a 1.1T magnetic field, moving perpendicular to the field. The velocity of the beta particle, being an electron with mass 9.1094*10^-31, is 1.1*10^8m/s while the alpha particle, a helium nucleus with mass 6.6447*10^-27, has a velocity of 1.299*10^6m/s. The equation mv^2/r = qvB can be used to solve for the curvature radius, with the given values of mass, velocity, and magnetic field. However, the user has no idea how to proceed with the figures
  • #1
ProPatto16
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0

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



theres 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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  • #2
mv^2/r = qvB
mv = qrB
sqrt(2mE) = qrB

MASTERING PHYSICS SUCKS!
 
  • #3
word. thanks bruh.
 

What is the definition of curvature radius in relation to alpha and beta particles?

The curvature radius of alpha and beta particles refers to the radius of the curved path that these particles follow when moving through a magnetic field. This path is a result of the charged particles being deflected by the magnetic field, causing them to travel in a circular or helical motion.

How is the curvature radius calculated for alpha and beta particles?

The curvature radius can be calculated using the formula r = mv/qB, where r is the curvature radius, m is the mass of the particle, v is its velocity, q is its charge, and B is the strength of the magnetic field. This formula is based on the principles of magnetic force and centripetal force.

What factors affect the curvature radius of alpha and beta particles?

The curvature radius of alpha and beta particles is affected by the strength of the magnetic field, the mass and charge of the particle, and its velocity. A stronger magnetic field will result in a smaller curvature radius, while a larger mass or charge will result in a larger curvature radius. Additionally, a higher velocity can also affect the curvature radius.

What is the significance of the curvature radius of alpha and beta particles?

The curvature radius is an important characteristic of alpha and beta particles as it allows scientists to study and analyze their behavior in magnetic fields. It also provides insights into the properties of these particles, such as their mass and charge, which can be useful in various scientific experiments and applications.

How does the curvature radius differ between alpha and beta particles?

The curvature radius differs between alpha and beta particles due to their different masses and charges. Alpha particles, which have a larger mass and charge than beta particles, will have a smaller curvature radius in the same magnetic field. Additionally, beta particles can have different curvature radii depending on their energy levels, as higher energy particles will have a larger curvature radius than lower energy ones.

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