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AP Physics C: E&M
12.2 Magnetism and Moving Charges
IntermediateMCQMathematicalConceptual23k
A schematic of a mass spectrometer oriented horizontally. On the left, two horizontal parallel plates define a velocity selector region: the top plate is labeled with a plus sign and the bottom plate with a minus sign. Between the plates, three downward vertical arrows represent a uniform electric field labeled \(E\), and four evenly spaced cross symbols represent a magnetic field into the page labeled \(B_1\). A horizontal dashed line with a rightward arrow indicates the path of an ion entering from the left and exiting through a narrow opening in a vertical barrier. To the right of the barrier, four cross symbols represent a uniform magnetic field into the page labeled \(B_2\). A semicircular counterclockwise dashed arc of radius labeled \(R\) curves upward from the slit and terminates at a rectangular detector strip on the vertical barrier. No other labels, lines, text, or axes appear.
Schematic diagram of a velocity selector and deflection chamber for charged ions.
A beam of singly ionized atoms with charge \(+e\) enters a velocity selector consisting of a uniform downward electric field of magnitude \(E\) and a uniform magnetic field of magnitude \(B_1\) directed into the page. Ions that travel undeflected emerge through a narrow aperture into a separation chamber containing a uniform magnetic field of magnitude \(B_2\) directed into the page. Inside the separation chamber, the ions follow semicircular paths of radius \(R\) before colliding with a detector. In terms of the given quantities, what is the mass \(m\) of the detected ions?

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