A charged particle follows a helical path in a uniform magnetic field. If B is doubled while its initial velocity components remain unchanged, which statements are correct?
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Question

A charged particle follows a helical path in a uniform magnetic field. If B is doubled while its initial velocity components remain unchanged, which statements are correct?

G1 Physics · Accepted Answer

r=mv⊥/(|q|B) and T=2πm/(|q|B), so both halve. Pitch=v∥T also halves, while speed remains unchanged.