What Is the Radius of a Proton's Helix in a Magnetic Field?

PZUFIC
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Homework Statement


Proton is moving in the homogen magentic field with B=0,1T. Mass of proton is 938MeV/c02.

How much is the radius of helix at which proton is moving, if his speed is 0,99*c0, and the angle between helix and magnetic field is 60°.

Homework Equations


y=\frac{1}{\sqrt{1-\frac{v^2}{c0^2}}}

r=\frac{m*v*y*sin(α)}{c0^2*B}

The Attempt at a Solution


I have tried to solve it in relativistic way whith equations that I wrote, but the result is wrong. What I am doing wrong?

I hope the post is ok and sory for potential mistakes in spelling and greetings from Slovenia.
 
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I don't understand where you got your equations.

Also, what do you mean "relativistic"? I don't think there should be any gammas anywhere in this calculation: all you use is the Lorentz force \vec{F}= q \vec{v} \times \vec{B}.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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