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A particle having charge q and mass m moving with velocity u enters a region of uniform magnetic field B at an angle 60° with B. The pitch of the helical path of the particle will be (assume α = q/m)
A
πu / (Bα)
B
πu / (Bα)
C
2πu / B
D
2πu / (Bα)
Explanation
Pitch p = v_parallel * T. Here v_parallel = u cos(60°) = u/2. Time period T = 2πm / (qB) = 2π / (Bα). Pitch = (u/2) * (2π / (Bα)) = πu / (Bα).
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