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AP Physics 2
12.2 Magnetism and Moving Charges
AdvancedMCQMathematicalProportional AnalysisConceptual16.1k
Deflection of ions in a uniform magnetic field.
Deflection of ions in a uniform magnetic field.
Two isotopes, Ion 1 and Ion 2, enter a mass spectrometer deflection chamber containing a uniform magnetic field \(\vec{B}\) directed perpendicular to their velocity vectors. Ion 1 has mass \(m_1 = m\) and charge \(q_1 = +2e\), while Ion 2 has mass \(m_2 = 3m\) and charge \(q_2 = +e\). If both ions enter the magnetic field region with the same kinetic energy \(K\), what is the ratio \(r_2 / r_1\) of the radius of the circular path of Ion 2 to that of Ion 1?

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