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AP Physics 2
12.2 Magnetism and Moving Charges
IntermediateMCQMathematicalConceptual13.6k
A rectangular region containing a uniform magnetic field directed into the page, represented by a grid of small x symbols labeled B. Two positively charged ions, labeled Ion 1 and Ion 2, enter the left boundary of the region moving horizontally to the right. Ion 1 has a horizontal velocity vector arrow labeled v_0. Ion 2 is drawn below Ion 1 with a longer horizontal velocity vector arrow labeled 2v_0. Dashed semicircular trajectories bend upward inside the magnetic field region, where the circular arc for Ion 2 has twice the radius of the circular arc for Ion 1. No other labels, lines, text, or axes appear.
Trajectories of Ion 1 and Ion 2 in a uniform magnetic field.
Two identical positively charged ions, Ion 1 and Ion 2, enter a region containing a uniform magnetic field \(\vec{B}\) directed perpendicular to their velocity vectors. Ion 1 enters the field with speed \(v_0\), and Ion 2 enters with speed \(2v_0\). Which of the following correctly compares the period \(T_1\) and \(T_2\) required for each ion to complete one full circular revolution, and provides the correct justification?

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