A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 7930 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0913 T. In the deflection chamber the particle strikes a photographic plate 11.9 cm removed from its exit point after traveling in a semicircle. ,in P Photographic plate Bin x Velocity selector E (a) What is the mass-to-charge ratio of the particle? kg/C (b) What is the mass of the particle if it is doubly ionized? kg (c) What is its identity, assuming it's an element? (Enter the name of an element.)

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**Mass Spectrometer Analysis**

A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 7930 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0913 T. In the deflection chamber, the particle strikes a photographic plate 11.9 cm removed from its exit point after traveling in a semicircle.

**Diagram Explanation**

- The diagram shows a particle entering a velocity selector region between two charged plates, with an electric field (\(\vec{E}\)) oriented between them. The electric field points downward in the image.
- The magnetic field (\(\vec{B}_{\text{in}}\)) is directed into the page in both the velocity selector and the deflection chamber.
- The particle, shown with a positive charge (+), travels with velocity \(\vec{v}\) through the velocity selector and then enters the deflection chamber, eventually striking a photographic plate after a semicircular path.

**Questions**

(a) What is the mass-to-charge ratio of the particle?  
[Answer: ________ kg/C]

(b) What is the mass of the particle if it is doubly ionized?  
[Answer: ________ kg]

(c) What is its identity, assuming it's an element? (Enter the name of an element.)  
[Answer: ________]

Use the provided information and the behavior of charged particles in the electric and magnetic fields to deduce the required properties of the particle.
Transcribed Image Text:**Mass Spectrometer Analysis** A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 7930 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0913 T. In the deflection chamber, the particle strikes a photographic plate 11.9 cm removed from its exit point after traveling in a semicircle. **Diagram Explanation** - The diagram shows a particle entering a velocity selector region between two charged plates, with an electric field (\(\vec{E}\)) oriented between them. The electric field points downward in the image. - The magnetic field (\(\vec{B}_{\text{in}}\)) is directed into the page in both the velocity selector and the deflection chamber. - The particle, shown with a positive charge (+), travels with velocity \(\vec{v}\) through the velocity selector and then enters the deflection chamber, eventually striking a photographic plate after a semicircular path. **Questions** (a) What is the mass-to-charge ratio of the particle? [Answer: ________ kg/C] (b) What is the mass of the particle if it is doubly ionized? [Answer: ________ kg] (c) What is its identity, assuming it's an element? (Enter the name of an element.) [Answer: ________] Use the provided information and the behavior of charged particles in the electric and magnetic fields to deduce the required properties of the particle.
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