Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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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 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)
A cyclotron designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the protons in this cyclotron. Find (b) the speed at which protons exit the cyclotron and (c) their maximum kinetic energy. (d) How many revolutions does a proton make in the cyclotron? (e) For what time interval does the proton accelerate?
Protons exit a cyclotron with a kinetic energy of 8.52 MeV. The alternating potential difference has a magnitude of 3.60 x 104 V and the magnetic field has a modulus of 1.5T. (a) What is the radius of the cyclotron in cm? (b) How long, expressed in μs, do protons take to exit the cyclotron, once they are emitted from the source ?
Chapter 28 Solutions
Fundamentals of Physics Extended
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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