An -particle (mass

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

An α\alpha-particle (mass 6.64×10−27 kg6.64\times10^{-27}\,\text{kg}, charge +2e+2e) is injected into a uniform magnetic field of 0.80 T0.80\,\text{T} with speed 4.0×106 m s−14.0\times10^{6}\,\text{m\,s}^{-1} making an angle of 60∘60^{\circ} with the field direction. (i) Calculate the time taken for one complete revolution about the field axis. (ii) Find the pitch of the helical path. (iii) How many complete turns will the particle make while moving 0.50 m0.50\,\text{m} along the field direction?

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