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Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.10 x 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0300 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.20 x 10-26 kg. x X P X X Detector array m Velocity selector x x Bin x x 0, in x + - + E 1x X x x X x --- TP x x XA XA XA x x x x * x x X x x x

Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.10 x 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0300 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.20 x 10-26 kg. x X P X X Detector array m Velocity selector x x Bin x x 0, in x + - + E 1x X x x X x --- TP x x XA XA XA x x x x * x x X x x x

College Physics
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.10  103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0300 T. Calculate the radius of the path for a singly charged ion having a mass 

m = 2.20  10-26 kg.
### Mass Spectrometer Description Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is \(2.10 \times 10^3\) V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of \(0.0300\) T. Calculate the radius of the path for a singly charged ion having a mass \(m = 2.20 \times 10^{-26}\) kg. **Diagram Explanation:** - **Velocity Selector:** - The velocity selector is composed of two plates, with an electric field (\(\vec{E}\)) directed from the positive plate to the negative plate. - The magnetic field (\(\vec{B}_{\text{in}}\)) is directed into the plane of the diagram (denoted by crosses). - **Deflection Chamber:** - After passing through the velocity selector, ions enter the deflection chamber where the magnetic field continues to be directed into the plane. - The path of the ions is bent into a circular arc with radius \(r\) due to the magnetic force acting on them. - **Detector Array:** - As the ions traverse through the deflection chamber, they eventually strike a detector, allowing for the measurement of their mass-to-charge ratio. **Problem:** Calculate the radius \(r\) of the path for the described ion under the influence of the given electric and magnetic fields. **Interactive Elements:** - **Need Help?** Options: - **Read It** - **Watch It** This educational content provides students with an overview of how mass spectrometers function, focusing on understanding physical interactions within the velocity selector and deflection chamber.
Transcribed Image Text:### Mass Spectrometer Description Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is \(2.10 \times 10^3\) V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of \(0.0300\) T. Calculate the radius of the path for a singly charged ion having a mass \(m = 2.20 \times 10^{-26}\) kg. **Diagram Explanation:** - **Velocity Selector:** - The velocity selector is composed of two plates, with an electric field (\(\vec{E}\)) directed from the positive plate to the negative plate. - The magnetic field (\(\vec{B}_{\text{in}}\)) is directed into the plane of the diagram (denoted by crosses). - **Deflection Chamber:** - After passing through the velocity selector, ions enter the deflection chamber where the magnetic field continues to be directed into the plane. - The path of the ions is bent into a circular arc with radius \(r\) due to the magnetic force acting on them. - **Detector Array:** - As the ions traverse through the deflection chamber, they eventually strike a detector, allowing for the measurement of their mass-to-charge ratio. **Problem:** Calculate the radius \(r\) of the path for the described ion under the influence of the given electric and magnetic fields. **Interactive Elements:** - **Need Help?** Options: - **Read It** - **Watch It** This educational content provides students with an overview of how mass spectrometers function, focusing on understanding physical interactions within the velocity selector and deflection chamber.
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