Magnetic field affecting an alpha and a beta particle.

AI Thread Summary
The discussion revolves around calculating the ratio of the radii of the paths taken by an alpha particle and a beta particle in a uniform magnetic field. Both particles travel at the same speed of 1.5x10^6 m/s, but the alpha particle, being significantly more massive and positively charged, will have a larger radius than the beta particle, which is lighter and negatively charged. The relevant equation for the radius of the path in a magnetic field is r = mv/BQ, where m is mass, v is velocity, B is the magnetic field strength, and Q is charge. The mass of the alpha particle is approximately 1840 times greater than that of the beta particle, while their charges differ in sign and magnitude. To find the ratio of their radii, one must apply the equation using the respective values for mass and charge of each particle.
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Homework Statement


An \alpha-particle and a β-particle are both traveling along the same path at a speed of 1.5x106 ms-1.

They then enter a region of uniform magnetic field. The field is a square with sides of 1 cm.

The magnetic field is normal to the path of the particles and is into the plane of the paper.

Calculate the ratio 'radius of the path of the alpha particle/radius of the path of the beta particle.'



2. The attempt at a solution

I don't even know how to start thinking about this question. I mean I know that the radius of the alpha particle will be greater than that of the beta particle because of their differences in mass and charge but how do you do go about that in fractions?
 
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Hint: What are the relevant equations and how would they differ for α/β particles?
 
r = mv/BQ? no?

For an α-particle, m would be (1840x4) times greater than for a β-particle [because it's a helium nucleus and a β-particle is an electron]. v is the same for both particles. B is also the same. Q, the charge, on the other hand, will be positive and negative for alpha and beta respectively, with values [if they're needed in the first place] of +4e and -e for alpha and beta respectively. I hope I'm right with all that data.

Here's what's bothering me. What do I do with this to answer the question? I mean how do I use it?
 
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