Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
5th Edition
ISBN: 9781133422013
Author: Raymond A. Serway; John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 22, Problem 65P
To determine
The difference in the cyclotron frequency between two ions.
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The magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.85 T. The poles have a radius of 0.40 m, which is the maximum radius of the orbits of the accelerated particles. (a) What is the maximum energy to which protons (q = 1.60 * 10-19 C, m = 1.67 * 10-27 kg) can be accelerated by this cyclotron? Give your answer in electron volts and in joules. (b) What is the time for one revolution of a proton orbiting at this maximum radius? (c) What would the magnetic-field magnitude have to be for the maximum energy to which a proton can be accelerated to be twice that calculated in part (a)? (d) For B = 0.85 T, what is the maximum energy to which alpha particles (q = 3.20 * 10-19 C, m = 6.64 * 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maximum energy for protons?
The mass of an ion can be determined by measuring its cyclotron frequency in a strong magnetic field. The cyclotron frequency of ion X+ (with charge q=1.6×10−19Cq=1.6×10-19C is measured to be 2.3 MHz in a 1.8 T magnetic field. What is the mass of ion X+ in atomic mass units? Note: one atomic mass unit is 1 amu = 1.66×10-27 kg.)
What is the radius of a proton's trajectory when it moves at 2.4x106 m/s perpendicular to a magnetic field whose strength is 0.08 T? Mass of the proton is 1.67x10-27 kg and the charge is +1.6x10-19 C.
Chapter 22 Solutions
Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
Ch. 22.2 - An electron moves in the plane of this paper...Ch. 22.3 - A charged particle is moving perpendicular to a...Ch. 22.5 - A wire carries current in the plane of this paper...Ch. 22.7 - Consider the magnetic field due to the current in...Ch. 22.8 - Prob. 22.5QQCh. 22.9 - Figure 22.30 (Quick Quiz 22.6) Four closed paths...Ch. 22.9 - Prob. 22.7QQCh. 22.10 - Consider a solenoid that is very long compared...Ch. 22 - Prob. 1OQCh. 22 - What creates a magnetic field? More than one...
Ch. 22 - A charged particle is traveling through a uniform...Ch. 22 - A proton moving horizontally enters a region where...Ch. 22 - Two long, parallel wires each carry the same...Ch. 22 - Two long, straight wires cross each other at a...Ch. 22 - Prob. 7OQCh. 22 - Prob. 8OQCh. 22 - Answer each question yes or no. (a) Is it possible...Ch. 22 - A long, straight wire carries a current I (Fig....Ch. 22 - A thin copper rod 1.00 m long has a mass of 50.0...Ch. 22 - A magnetic field exerts a torque on each of the...Ch. 22 - Two long, parallel wires carry currents of 20.0 A...Ch. 22 - Prob. 14OQCh. 22 - A long solenoid with closely spaced turns carries...Ch. 22 - Solenoid A has length L and N turns, solenoid B...Ch. 22 - Prob. 1CQCh. 22 - Prob. 2CQCh. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Prob. 5CQCh. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - Imagine you have a compass whose needle can rotate...Ch. 22 - Prob. 9CQCh. 22 - Can a constant magnetic field set into motion an...Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A proton travels with a speed of 3.00 106 m/s at...Ch. 22 - Determine the initial direction of the deflection...Ch. 22 - An electron is accelerated through 2.40 103 V...Ch. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Review. An electron moves in a circular path...Ch. 22 - A cosmic-ray proton in interstellar space has an...Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Consider the mass spectrometer shown schematically...Ch. 22 - Prob. 16PCh. 22 - The picture tube in an old black-and-white...Ch. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - In Figure P22.20, the cube is 40.0 cm on each...Ch. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - A wire 2.80 m in length carries a current of 5.00...Ch. 22 - A current loop with magnetic dipole moment is...Ch. 22 - A rectangular coil consists of N = 100 closely...Ch. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Calculate the magnitude of the magnetic field at a...Ch. 22 - An infinitely long wire carrying a current I is...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - One long wire carries current 30.0 A to the left...Ch. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - 3. In Niels Bohr’s 1913 model of the hydrogen...Ch. 22 - Review. In studies of the possibility of migrating...Ch. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - In Figure P22.43, the current in the long,...Ch. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - A packed bundle of 100 long, straight, insulated...Ch. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - A long, straight wire lies on a horizontal table...Ch. 22 - Prob. 54PCh. 22 - A single-turn square loop of wire, 2.00 cm on each...Ch. 22 - Prob. 56PCh. 22 - A long solenoid that has 1 000 turns uniformly...Ch. 22 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 22 - Prob. 59PCh. 22 - In Niels Bohr’s 1913 model of the hydrogen atom,...Ch. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - The Hall effect finds important application in the...Ch. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Assume the region to the right of a certain plane...Ch. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Review. Rail guns have been suggested for...Ch. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81P
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- The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.40 m. (a) What is the kinetic energy of the protons when they are ejected from the cyclotron? (b) What Is this energy in MeV? (c) Through what potential difference would a proton have to be accelerated to acquire this kinetic energy? (d) What is the period of tire voltage source used to accelerate the piotons? (e) Repeat tire calculations for alpha-particles.arrow_forwardA 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 spacecraft is in 4 circular orbit of radius equal to 3.0 104 km around a 2.0 1030 kg pulsar. The magnetic field of the pulsar at that radial distance is 1.0 102 T directed perpendicular to the velocity of the spacecraft. The spacecraft is 0.20 km long with a radius of 0.040 km and moves counter-clockwise in the xy-plane around the pulsar. (a) What is the speed of the spacecraft? (b) If the magnetic field points in the positive z-direction, is the emf induced from the back to the front of the spacecraft or from side to side? (c) Compute the induced emf. (d) Describe the hazards for astronauts inside any spacecraft moving in the vicinity of a pulsar.arrow_forward
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