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AP Physics 2
12.2 Magnetism and Moving Charges
AdvancedMCQMathematicalProportional Analysis14.6k
A two-dimensional Cartesian coordinate system showing the xy-plane. The y-axis is represented by a vertical solid line labeled y. The semi-infinite region x > 0 to the right of the y-axis is shaded light grey and filled with a uniform grid of out-of-page magnetic field symbols, depicted as small circles with central dots, labeled \vec{B}. A single positively charged particle labeled +q is positioned at the origin (0,0) with a rightward horizontal arrow labeled \vec{v}_0 pointing along the positive x-axis into the field region. A dashed semicircular path in the lower-right quadrant curves downward from the origin and loops back to touch the y-axis at a negative y-value. No other labels, lines, text, or axes appear.
A positively charged particle entering a semi-infinite magnetic field region at the origin.
A region of space defined by \(x > 0\) contains a uniform magnetic field \(\vec{B}\) directed perpendicularly out of the page. Four positively charged particles are launched one at a time from the origin \((0,0)\) along the positive \(x\)-axis into the magnetic field region, as shown in the figure.

ParticleMassChargeInitial speed
1\(m_0\)\(+q_0\)\(v_0\)
2\(m_0\)\(+2q_0\)\(2v_0\)
3\(2m_0\)\(+q_0\)\(v_0/2\)
4\(2m_0\)\(+2q_0\)\(v_0\)

Which of the following correctly ranks the dwell time \(t\), defined as the time spent inside the magnetic field region before exiting, for the four particles?

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