Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Question
Chapter 28, Problem 36P
To determine
To find:
a) Magnitude of the magnetic field to achieve resonance
b) Kinetic energy of a proton emerging from the cyclotron
c) The oscillator frequency to achieve resonance
d) Kinetic energy of the emerging proton
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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?
A cyclotron used to accelerate protons has a uniform magnetic field of 0.45 T. If the inner radius
of the dees is 39.0 cm, what is the maximum kinetic energy (in MeV) attainable by the protons?
(Include 2 digit after the decimal point and maximum of 5% of error is accepted in your answer.
Take elementary charge 1.6 x 10 -19 C, mass of proton 1.67 x 10 -27 kg and 1 eV=1.6 x 10-19 J.)
The magnetic field in a cyclotron is 1.29 T, and the maximum orbital radius of the circulating protons is 0.37 m.
(a)
What is the kinetic energy (in J) of the protons when they are ejected from the cyclotron?
(b)
What is this energy in MeV?
(c)
Through what potential difference (in MV) would a proton have to be accelerated to acquire this kinetic energy?
(d)
What is the period (in s) of the voltage source used to accelerate the protons?
(e)
Repeat the calculations for alpha-particles.
kinetic energy (in J)
kinetic energy (in MeV)
potential difference (in MV)
period (in s)
Chapter 28 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 28 - Prob. 1QCh. 28 - Prob. 2QCh. 28 - Prob. 3QCh. 28 - Prob. 4QCh. 28 - In Module 28-2, we discussed a charged particle...Ch. 28 - Figure 28-26 shows crossed uniform electic and...Ch. 28 - Figure 28-27 shows the path of an electron that...Ch. 28 - Figure 28-28 shows the path of an electron in a...Ch. 28 - a In Checkpoint 5, if the dipole moment is rotated...Ch. 28 - Particle round about. Figure 28-29 shows 11 paths...
Ch. 28 - Prob. 11QCh. 28 - Prob. 12QCh. 28 - Prob. 1PCh. 28 - A particle of mass 10 g and charge 80 C moves...Ch. 28 - An electron that has an instantaneous velocity of...Ch. 28 - An alpa particle travels at a velocity of...Ch. 28 - GO An electron moves through a unifrom magnetic...Ch. 28 - GO A proton moves through a uniform magnetic field...Ch. 28 - Prob. 7PCh. 28 - An electric field of 1.50 kV/m and a perpendicular...Ch. 28 - ILW In Fig. 28-32, an electron accelerated from...Ch. 28 - A proton travels through uniform magnetic and...Ch. 28 - Prob. 11PCh. 28 - Go At time t1 an electron is sent along the...Ch. 28 - Prob. 13PCh. 28 - A metal strip 6.50 cm long, 0.850 cm wide, and...Ch. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - An alpha particle can be produced in certain...Ch. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - SSM An electron of kinetic energy 1.20 keV circles...Ch. 28 - In a nuclear experiment a proton with kinetic...Ch. 28 - What uniform magnetic field, applied perpendicular...Ch. 28 - An electron is accelerated from rest by a...Ch. 28 - a Find the frequency of revolution of an electron...Ch. 28 - Prob. 26PCh. 28 - A mass spectrometer Fig. 28-12 is used to separate...Ch. 28 - A particle undergoes uniform circular motion of...Ch. 28 - An electron follows a helical path in a uniform...Ch. 28 - GO In Fig. 28-40. an electron with an initial...Ch. 28 - A particular type of fundamental particle decays...Ch. 28 - An source injects an electron of speed v = 1.5 ...Ch. 28 - Prob. 33PCh. 28 - An electron follows a helical path in a uniform...Ch. 28 - A proton circulates in a cyclotron, beginning...Ch. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - In a certain cyclotron a proton moves in a circle...Ch. 28 - SSM A horizontal power line carries a current of...Ch. 28 - A wire 1.80 m long carries a current of 13.0 A and...Ch. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - A single-turn current loop, carrying a current of...Ch. 28 - Prob. 44PCh. 28 - ACA /ACwire 50.0 cm long carries a 0.500 A current...Ch. 28 - In Fig. 28-44, a metal wire of mass m = 24.1 mg...Ch. 28 - GO A 1.0 kg copper rod rests on two horizontal...Ch. 28 - GO A long, rigid conductor, lying along an x axis,...Ch. 28 - Prob. 49PCh. 28 - An electron moves in a circle of radius r = 5.29 ...Ch. 28 - Prob. 51PCh. 28 - Prob. 52PCh. 28 - Prob. 53PCh. 28 - A magnetic dipole with a dipole moment of...Ch. 28 - Prob. 55PCh. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58PCh. 28 - A Current loop, carrying a current of 5.0 A, is in...Ch. 28 - Prob. 60PCh. 28 - Prob. 61PCh. 28 - Prob. 62PCh. 28 - A circular loop of wire having a radius of 8.0 cm...Ch. 28 - GO Figure 28-52 gives the orientation energy U of...Ch. 28 - Prob. 65PCh. 28 - Prob. 66PCh. 28 - A stationary circular wall clock has a face with a...Ch. 28 - A wire lying along a y axis from y = 0 to y =...Ch. 28 - Atom 1 of mass 35 u and atom 2 of mass 37 u are...Ch. 28 - Prob. 70PCh. 28 - Physicist S. A. Goudsmit devised a method for...Ch. 28 - A beam of electrons whose kinetic energy is K...Ch. 28 - Prob. 73PCh. 28 - Prob. 74PCh. 28 - Prob. 75PCh. 28 - Prob. 76PCh. 28 - Prob. 77PCh. 28 - In Fig. 28-8, show that the ratio of the Hall...Ch. 28 - Prob. 79PCh. 28 - An electron is moving at 7.20 106 m/s in a...Ch. 28 - Prob. 81PCh. 28 - Prob. 82PCh. 28 - Prob. 83PCh. 28 - A write lying along an x axis from x = 0 to x =...Ch. 28 - At one instant, m/s is the velocity of a proton in...Ch. 28 - An electron has velocity km/s as it enters a...Ch. 28 - Prob. 87PCh. 28 - Prob. 88PCh. 28 - In Fig. 28-58, an electron of mass m, charge e,...Ch. 28 - Prob. 90PCh. 28 - Prob. 91PCh. 28 - An electron that is moving through a uniform...
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