Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 29, Problem 25P
To determine
The radius of the path for a singly charged ion.
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A mass spectrometer (see figure below) operates with a uniform magnetic field of 21.0 mT and an electric field of 3.55 ✕ 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle
(ma = 6.64 ✕ 10−27 kg)?
Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 930 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.950 T. Calculate the radius r of the path for a singly charged ion with mass m = 2.22 ✕ 10−26 kg. Answer in mm
A mass spectrometer (see figure below) operates with a uniform magnetic field of 21.0 mT and an electric field of 3.55 ✕ 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle
(ma = 6.64 ✕ 10−27 kg)?
cm
Chapter 29 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 29.1 - An electron moves in the plane of this paper...Ch. 29.2 - Prob. 29.2QQCh. 29.4 - A wire carries current in the plane of this paper...Ch. 29.5 - (i) Rank the magnitudes of the torques acting on...Ch. 29 - Prob. 1OQCh. 29 - Prob. 2OQCh. 29 - Prob. 3OQCh. 29 - Prob. 4OQCh. 29 - Prob. 5OQCh. 29 - Prob. 6OQ
Ch. 29 - Prob. 7OQCh. 29 - Prob. 8OQCh. 29 - Prob. 9OQCh. 29 - Prob. 10OQCh. 29 - Prob. 11OQCh. 29 - Prob. 12OQCh. 29 - Prob. 13OQCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - At the equator, near the surface of the Earth, the...Ch. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Consider an electron near the Earths equator. In...Ch. 29 - Prob. 5PCh. 29 - A proton moving at 4.00 106 m/s through a...Ch. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - A proton travels with a speed of 5.02 106 m/s in...Ch. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - An accelerating voltage of 2.50103 V is applied to...Ch. 29 - A proton (charge + e, mass mp), a deuteron (charge...Ch. 29 - Prob. 16PCh. 29 - Review. One electron collides elastically with a...Ch. 29 - Review. One electron collides elastically with a...Ch. 29 - Review. An electron moves in a circular path...Ch. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - A cyclotron designed to accelerate protons has a...Ch. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - A cyclotron (Fig. 28.16) designed to accelerate...Ch. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - A wire carries a steady current of 2.40 A. A...Ch. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Consider the system pictured in Figure P28.26. A...Ch. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - A 50.0-turn circular coil of radius 5.00 cm can be...Ch. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 53PCh. 29 - A Hall-effect probe operates with a 120-mA...Ch. 29 - Prob. 55PCh. 29 - Prob. 56APCh. 29 - Prob. 57APCh. 29 - Prob. 58APCh. 29 - Prob. 59APCh. 29 - Prob. 60APCh. 29 - Prob. 61APCh. 29 - Prob. 62APCh. 29 - Prob. 63APCh. 29 - Prob. 64APCh. 29 - Prob. 65APCh. 29 - Prob. 66APCh. 29 - A proton having an initial velocity of 20.0iMm/s...Ch. 29 - Prob. 68APCh. 29 - Prob. 69APCh. 29 - Prob. 70APCh. 29 - Prob. 71APCh. 29 - Prob. 72APCh. 29 - Prob. 73APCh. 29 - Prob. 74APCh. 29 - Prob. 75APCh. 29 - Prob. 76APCh. 29 - Prob. 77CPCh. 29 - Prob. 78CPCh. 29 - Review. A wire having a linear mass density of...Ch. 29 - Prob. 80CP
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- An alpha-particle ( m=6.641027kg , q=3.21019C ) travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 1.5 T. (a) What is the speed of the particle? (b) What is the kinetic energy in electron-volts? (c) Through what potential difference must the particle be accelerated in order to give it this kinetic energy?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_forwardConsider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26arrow_forward
- A beam of electrons is accelerated through a potential difference of 10 kV before entering a region having uniform electric and magnetic fields that are perpendicular to each other and perpendicular to the direction in which the electron is moving. If the magnetic field in this region has a value of 0.01 T, what magnitude of the electric field is required if the particles are to be undeflected as they pass through the region? * 5.9 x 10^5 V/m 6.0 x 10^5 V/m 2.3 x 10^3 V/m 7.9 x 10^3 V/m 7.2 x 10^6 V/marrow_forwardA metal strip 7.00 cm long, 0.82 cm wide, and 0.71 mm thick moves with constant velocity (v) through a uniform magnetic field B = 1.10 mT directed perpendicular to the strip. A potential difference of 3.50 µV is measured across the width of the strip. What is the speed v? m/s V= What potential difference would be measured across the width of the strip if the velocity is 1.9 m/s? AV = μV xxx X X X X X X X X X X X X x X: W X X X X X-X length B X X xxarrow_forwardConsider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 3.00 x 103 v/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0300 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.48 x 10 26 kg. Bo in Detector array Bin x Velocity selectorarrow_forward
- Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.00 x 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 = 2.52 x 10-26 kg. X * x P X x x * x X * * Detector array Bo, in Bin Velocity selector * x * x 20 x + + E X x X x X 1200 7 9 * X x X x X * x X Xarrow_forwardA 180 V battery is connected across two parallel metal plates of area 28.5 cm2cm2 and separation 7.20mm. A beam of alpha particles (charge +2e+2e, mass 6.64x10-27kg6.64x10-27kg) is accelerated from rest through a potential difference of 1.50 kV and enters the region between the plates perpendicular to the electric field, What magnitude of magnetic field is needed so that the alpha particles emerge undeflected from between the plates? Express your answer with the appropriate units. „What is the direction of this magnetic field? The magnetic field is directed out of the page. The magnetic field is directed upward. The magnetic field is directed into the page. The magnetic field is directed downward.arrow_forwardA pellet which holds a charge of 10 coulombs is moving upwards (+Y) and driven by an electric field in the same direction with a magnitude of 50 V/m. There is a magnetic field with a magnitude of 25 Tesla’s pointing downwards (-Y). How fast does the pellet need to be going for the magnetic force to cancel the electric force? Group of answer choices 0.5 m/s 2 m/s 4 m/s The forces will cancel out at any speed the pellet may be travelling In this case, the electric force cannot be canceled out by the magnetic forcearrow_forward
- 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…arrow_forwardThe electric field between the plates of the velocity selector is 970 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.945 T. Calculate the radius r of the path for a singly charged ion with mass m = 2.20 ✕ 10−26 kg.arrow_forwardConsider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 935 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.950 T. Calculate the radius r of the path for a singly charged ion with mass m = 2.24 ✕ 10−26 kg.arrow_forward
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