College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A charged particle enters the magnetic field of magnitude 0.35 T of a mass spectrometer at a speed of \(1.79 \times 10^6 \, \text{m/s}\). If it travels in a circle with a radius of 10.7 cm, find the mass-to-charge ratio and identify the particle from the table.
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Transcribed Image Text:A charged particle enters the magnetic field of magnitude 0.35 T of a mass spectrometer at a speed of \(1.79 \times 10^6 \, \text{m/s}\). If it travels in a circle with a radius of 10.7 cm, find the mass-to-charge ratio and identify the particle from the table.
### Table: Characteristics of Atomic Nuclei This table presents the mass, charge, and mass-to-charge ratio for various atomic nuclei, providing crucial information for understanding nuclear properties and reactions. | Nucleus | Mass, \( m \) (kg) | Charge, \( q \) (C) | Mass/Charge, \( m/q \) (kg/C) | |------------|---------------------|----------------------|-------------------------------| | Hydrogen | \( 1.67 \times 10^{-27} \) | \( 1.60 \times 10^{-19} \) | \( 1.04 \times 10^{-8} \) | | Deuterium | \( 3.35 \times 10^{-27} \) | \( 1.60 \times 10^{-19} \) | \( 2.09 \times 10^{-8} \) | | Tritium | \( 5.01 \times 10^{-27} \) | \( 1.60 \times 10^{-19} \) | \( 3.13 \times 10^{-8} \) | | Helium-3 | \( 5.01 \times 10^{-27} \) | \( 3.20 \times 10^{-19} \) | \( 1.57 \times 10^{-8} \) | #### Explanation: - **Nucleus**: Refers to the type of atomic nucleus considered. - **Mass, \( m \)**: The mass of the nucleus expressed in kilograms. - **Charge, \( q \)**: The electric charge of the nucleus expressed in coulombs. - **Mass/Charge, \( m/q \)**: Represents the ratio of mass to charge, giving an indication of how mass is balanced by electric charge, which is significant for understanding behavior in magnetic and electric fields. The table highlights differences in properties between isotopes and elements, critical for applications in nuclear physics and chemistry.
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Transcribed Image Text:### Table: Characteristics of Atomic Nuclei This table presents the mass, charge, and mass-to-charge ratio for various atomic nuclei, providing crucial information for understanding nuclear properties and reactions. | Nucleus | Mass, \( m \) (kg) | Charge, \( q \) (C) | Mass/Charge, \( m/q \) (kg/C) | |------------|---------------------|----------------------|-------------------------------| | Hydrogen | \( 1.67 \times 10^{-27} \) | \( 1.60 \times 10^{-19} \) | \( 1.04 \times 10^{-8} \) | | Deuterium | \( 3.35 \times 10^{-27} \) | \( 1.60 \times 10^{-19} \) | \( 2.09 \times 10^{-8} \) | | Tritium | \( 5.01 \times 10^{-27} \) | \( 1.60 \times 10^{-19} \) | \( 3.13 \times 10^{-8} \) | | Helium-3 | \( 5.01 \times 10^{-27} \) | \( 3.20 \times 10^{-19} \) | \( 1.57 \times 10^{-8} \) | #### Explanation: - **Nucleus**: Refers to the type of atomic nucleus considered. - **Mass, \( m \)**: The mass of the nucleus expressed in kilograms. - **Charge, \( q \)**: The electric charge of the nucleus expressed in coulombs. - **Mass/Charge, \( m/q \)**: Represents the ratio of mass to charge, giving an indication of how mass is balanced by electric charge, which is significant for understanding behavior in magnetic and electric fields. The table highlights differences in properties between isotopes and elements, critical for applications in nuclear physics and chemistry.
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