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 8060 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0920 T. In the deflection chamber the particle strikes a photographic plate 39.6 cm removed from its exit point after traveling in a semicircle. The diagram depicts a velocity selector. The plane of the page is filled with symmetrically arranged crosses labeled vector B0, in above a horizontal plate, and vector Bin below the horizontal plate. Below the horizontal plate, two vertical plates are placed parallel to each other in the right position of the field. The left plate is positively charged and the right plate is negatively charged. The electric field vector E points from the positive plate to the right toward the negative plate. A positively charged particle of charge q and velocity vector v pointing upward travels between the plates and equidistant to them. The trajectory of the particle is shown by a vertical dashed line that goes directly upward through the center of the space between the plates and the center of the positively charged particle. Once the trajectory reaches the region of field above the plates, the trajectory curves left to take a semicircular path of radius r to reach point P on the surface of a horizontal plate placed just above the plates. The horizontal plate is labeled "Photographic plate" and has an opening right above the space between the plates through which the trajectory passes. (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.)

Principles of Physics: A Calculus-Based Text

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ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

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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 8060 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0920 T. In the deflection chamber the particle strikes a photographic plate 39.6 cm removed from its exit point after traveling in a semicircle.

The diagram depicts a velocity selector. The plane of the page is filled with symmetrically arranged crosses labeled vector B_{0, in} above a horizontal plate, and vector B_in below the horizontal plate. Below the horizontal plate, two vertical plates are placed parallel to each other in the right position of the field. The left plate is positively charged and the right plate is negatively charged. The electric field vector E points from the positive plate to the right toward the negative plate. A positively charged particle of charge q and velocity vector v pointing upward travels between the plates and equidistant to them. The trajectory of the particle is shown by a vertical dashed line that goes directly upward through the center of the space between the plates and the center of the positively charged particle. Once the trajectory reaches the region of field above the plates, the trajectory curves left to take a semicircular path of radius r to reach point P on the surface of a horizontal plate placed just above the plates. The horizontal plate is labeled "Photographic plate" and has an opening right above the space between the plates through which the trajectory passes.

(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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