Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 42P
(a)
To determine
The speed of the ion enters the mass spectrometer.
(b)
To determine
The difference in the diameter of orbits.
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The strengths of the fields in the velocity selector of a Bainbridge mass spectrometer are B = 0.500 T and E = 1.2 × 105 V/m, and the strength of the magnetic field that separates the ions is Bo = 0.750 T. A stream of singly charged Li ions is found to bend in a circular arc of radius 2.32 cm. What is the mass of the Li ions?
A single ionized uranium ion of mass 8.9 x 10-25 kg is accelerated through a potential difference of 6.4 x 105 V.
What is the radius of the path it would take if injected at 90o into 0.50 T uniform magnetic field at this velocity?
What is the radius of curvature of the path of a 3.0-keV proton in a perpendicular magnetic field of magnitude 0.80 T?
Chapter 26 Solutions
Physics for Scientists and Engineers
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- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardA mass spectrometer (Fig. 30.40, page 956) operates with a uniform magnetic field of 20.0 mT and an electric field of 4.00 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle (ma = 6.64 1027 kg)?arrow_forwardCheck Your Understanding Repeat the previous problem with the magnetic field in the x-direction rather than in the z-direction. Check your answers with RHR-1.arrow_forward
- Check Your Understanding In what orientation would a magnetic dipole have to be to produce (a) a maximum torque in a magnetic field? (b) A maximum energy of the dipole?arrow_forwardAn electron is accelerated through 2.40 103 V from rest and then enters a uniform 1.70-T magnetic field. What are (a) the maximum and (b) the minimum values of the magnetic force this particle experiences?arrow_forwardConsider the mass spectrometer shown schematically in Active Figure 22.12. The magnitude of the electric field between the plates of the velocity selector is 2.50 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.035 0 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.18 1026 kg.arrow_forward
- A proton moves in a circular orbit of radius 44 cm, in an extermal magnetic field with velocity 1.75x10, (Given the mass of proton 1.67x10ka) Calculate the magnetic field strength in tesla?arrow_forwardConsider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.45 T. 1. What is the potential difference, in volts, required in the first part of the experiment to accelerate electrons to a speed of 6.1 × 107 m/s? 2. Find the radius of curvature, in meters, of the path of a proton accelerated through this same potential after the proton crosses into the region with the magnetic field. 3. What is the ratio of the radii of curvature for a proton and an an electron traveling through this apparatus?arrow_forwardWith a magnetic field strength of 3.00•10-4 T and an accelerating voltage of 21.0 V, an electron beam is observed to follow a circular path with a radius 5.00 cm. From these values, determine the ratio e/me. Give answer in C/kg to three significant figures.arrow_forward
- An electron with kinetic energy 2.5 keV moving along the positive direction of an x axis enters a region in which a uniform electric field of magnitude 10 kV/m is in the negative direction of the y axis. A uniform magnetic field is to be set up to keep the electron moving along the x axis, and the direction of is to be chosen to minimize the required magnitude of . In unit-vector notation, what should be set up?arrow_forwardA mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from a velocity selector at a speed of 3.00 x 105 m/s and enter a uniform magnetic field of 0.375 T directed perpendicularly to the velocity of the ions. What is the distance between the impact points formed on the photographic plate by ions of 235U and 238U? The mass of a 235U ion is 3.902 x 10-25 kg, and the mass of a 238U ion is 3.952 x 10-25 kg, while both types have a charge of 1.602 x 10-19 C. A mass spectrometer (schematic). Charged particles are first sent through a velocity selector. They then enter a region where a magnetic field B causes positive ions to move in a semicircular path and strike a photographic film at P.arrow_forwardConsider 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 0.0400 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.10 10-26 kg.arrow_forward
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