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A relativistic particle with chargeq and restmass m, moves along a circleof readiusr in a uniformmagneticfield of induction B. Find: (a) the modulus of the particl's momentum vector, (b) the kineticenergy of the particle, (c) the acceleartionof the particle. |
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Answer» Solution :(a) As before, `p = B QR`. (b) `T = sqrt(c^(2) p^(2) + m_(0)^(2) c^(4)) = sqrt(c^(2) B^(2) Q^(2) r^(2) + m_(0)^(2) c^(4))` (c) `w = (v^(2))/(r) (c^(2))/(r[1 + (m_(0)c//Bq r)^(2)])` usingtheresultfor `v` FROMTHE previous problem. |
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