Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
28. Magnetic Fields and Forces
Mass Spectrometer
28. Magnetic Fields and Forces
Mass Spectrometer: Study with Video Lessons, Practice Problems & Examples
2PRACTICE PROBLEM
A mass spectrometer uses sulfur isotopes of mass numbers 32, 33, and 34 from a meteorite sample. The electric field between the plates is 2.9×10⁴ V/m and the magnetic fields are B = B' = 0.60 T and their directions are shown below. To estimate atomic masses, multiply by 1.67×10⁻²⁷ kg. How far apart are the marks formed by singly charged ions of each type on a detector film? Hint: The mass m of an isotope in this spectrometer is equal to qBB'r/E and charge q=1.602×10⁻19 C.
![Diagram of a mass spectrometer showing sulfur isotopes and their paths to the detector.](data:image/png;base64,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)
A mass spectrometer uses sulfur isotopes of mass numbers 32, 33, and 34 from a meteorite sample. The electric field between the plates is 2.9×10⁴ V/m and the magnetic fields are B = B' = 0.60 T and their directions are shown below. To estimate atomic masses, multiply by 1.67×10⁻²⁷ kg. How far apart are the marks formed by singly charged ions of each type on a detector film? Hint: The mass m of an isotope in this spectrometer is equal to qBB'r/E and charge q=1.602×10⁻19 C.