PHYSICS F/ SCIENTISTS&ENGINEERS(LL)W/AC
10th Edition
ISBN: 9781337888561
Author: SERWAY
Publisher: CENGAGE L
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Chapter 28, Problem 15P
To determine
The total number of revolutions of proton.
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You are working as a medical assistant at a proton beam facility, where high-speed protons are used to bombard cancer cells. The protons are accelerated with a cyclotron, which you find very interesting because of your background in physics. You are explaining this to a patient who has some familiarity with cyclotrons. She asks, “How many revolutions does a proton make in the cyclotron before it reaches its exit kinetic energy?” You are taken aback, both by the high quality of her question and the fact that you never thought of such a question before. You tell her you will try to get her an answer before she finishes her treatment today. When you are finished preparing her for treatment, you go into the cyclotron room and look at the machine. Only three numbers are available on the machine labeling: the exit energy K = 250 MeV, the radius at which the protons exit, r = 0.850 m, and the accelerating potential difference between the dees, ΔV = 800 V. You go back to the patient prepared…
Chapter 28 Solutions
PHYSICS F/ SCIENTISTS&ENGINEERS(LL)W/AC
Ch. 28.1 - An electron moves in the plane of this paper...Ch. 28.2 - Prob. 28.2QQCh. 28.4 - A wire carries current in the plane of this paper...Ch. 28.5 - (i) Rank the magnitudes of the torques acting on...Ch. 28 - At the equator, near the surface of the Earth, the...Ch. 28 - Consider an electron near the Earths equator. In...Ch. 28 - Find the direction of the magnetic field acting on...Ch. 28 - A proton moving at 4.00 106 m/s through a...Ch. 28 - A proton travels with a speed of 5.02 106 m/s in...Ch. 28 - A laboratory electromagnet produces a magnetic...
Ch. 28 - A proton moves perpendicular to a uniform magnetic...Ch. 28 - An accelerating voltage of 2.50103 V is applied to...Ch. 28 - A proton (charge + e, mass mp), a deuteron (charge...Ch. 28 - Review. A 30.0-g metal hall having net charge Q =...Ch. 28 - Review. One electron collides elastically with a...Ch. 28 - Review. One electron collides elastically with a...Ch. 28 - Review. An electron moves in a circular path...Ch. 28 - A cyclotron designed to accelerate protons has a...Ch. 28 - Prob. 15PCh. 28 - Singly charged uranium-238 ions are accelerated...Ch. 28 - A cyclotron (Fig. 28.16) designed to accelerate...Ch. 28 - A particle in the cyclotron shown in Figure 28.16a...Ch. 28 - Prob. 19PCh. 28 - A straight wire earning a 3.00-A current is placed...Ch. 28 - A wire carries a steady current of 2.40 A. A...Ch. 28 - Why is the following situation impossible? Imagine...Ch. 28 - Review. A rod of mass 0.720 kg and radius 6.00 cm...Ch. 28 - Review. A rod of mass m and radius R rests on two...Ch. 28 - A wire having a mass per unit length of 0.500 g/cm...Ch. 28 - Consider the system pictured in Figure P28.26. A...Ch. 28 - A strong magnet is placed under a horizontal...Ch. 28 - In Figure P28.28, the cube is 40.0 cm on each...Ch. 28 - A magnetized sewing needle has a magnetic moment...Ch. 28 - A 50.0-turn circular coil of radius 5.00 cm can be...Ch. 28 - You are in charge of planning a physics magic show...Ch. 28 - You are working in your dream job: an assistant...Ch. 28 - A rectangular coil consists of N = 100 closely...Ch. 28 - A rectangular loop of wire has dimensions 0.500 m...Ch. 28 - A wire is formed into a circle having a diameter...Ch. 28 - A Hall-effect probe operates with a 120-mA...Ch. 28 - Prob. 37APCh. 28 - Figure 28.11 shows a charged particle traveling in...Ch. 28 - Within a cylindrical region of space of radius 100...Ch. 28 - Prob. 40APCh. 28 - Prob. 41APCh. 28 - (a) A proton moving with velocity v=ii experiences...Ch. 28 - A proton having an initial velocity of 20.0iMm/s...Ch. 28 - You have been called in as an expert witness in a...Ch. 28 - Prob. 45APCh. 28 - Why is the following situation impossible? Figure...Ch. 28 - A heart surgeon monitors the flow rate of blood...Ch. 28 - Review. (a) Show that a magnetic dipole in a...Ch. 28 - Consider an electron orbiting a proton and...Ch. 28 - Protons having a kinetic energy of 5.00 MeV (1 eV...Ch. 28 - Review. A wire having a linear mass density of...
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- (a) At what speed will a proton move in a circular path of the same radius as the electron in the previous exercise? (b) What would the radius of the path be if tlie proton had the same speed as the election? (c) What would the radius be if the proton had tlie same kinetic energy' as die electron? (d) The same momentum?arrow_forwardThe 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 circulates in a cyclotron, beginning approximately at rest at the center. The electric potential difference between the dees is 400V. What is the proton's kinetic energy after completing 100 passes through the gap?arrow_forward
- In a typical television or in an older computer monitor's cathode ray tube (CRT), electrons are accelerated from rest through a potential difference of 2.5×104 V, steered by magnetic fields, and finally strike particular spots on the screen at the front of the tube to create an image. What is the kinetic energy of the electrons after the accelerating process, as they are moving toward the screen?arrow_forwardeV is a unit used in nuclear physics for the energy of particles. If an electron's charge is 1.6 * 10^-19 C, and its mass is 9.1 * 10^-31 kg, what is the speed of an electron with 1 eV kinetic energy to one significant figure? A) 600000 m/s (B) 5000000000 m/s (C) 2200 m/s D) 40000 m/sarrow_forwardA small charged particle of mass 1.0 x 10-8 kg is traveling rightward between two plates separated by a distance d = 80 cm, as shown below. The electric field between the plates has a constant magnitude of 3.0 x 106 V/m and is directed leftward. The particle's speed is 5.0 x 103 m/s at the left plate and 2.0 x 10³ m/s at the right plate. Ignore the effect of gravity. F (a) Is the particle positively charged or negatively charged? Justify your answer briefly but clearly. (b) Find the charge (with correct sign) of the particle, as well as the potential difference (with correct sign) through which the particle has moved. (Note: The potential difference is positive if the right plate is at a higher potential than the left plate, and negative if the right plate is at a lower potential than the left plate. Show all your work; do not simply plug numbers into a result derived in class.)arrow_forward
- An evacuated tube uses an accelerating voltage of 55 kV to accelerate electrons to hit a copper plate and produce X-rays. Non-relativistically, what would be the maximum speed (in m/s) of these electrons?arrow_forwardThe proton-proton chain is the multi-step process that powers the Sun via fusion of hydrogen into helium. In the first step of the proton-proton chain, a positron is produced when two protons fuse together (with one proton converting to a neutron). The emitted positron quickly collides with its anti-particle, the electron. (Recall that the electron and positron have exactly the same mass, but opposite electric charges.) The electron and positron then completely annihilate, converting all of their rest mass into two gamma-ray photons. Given a single particle of mass m, the amount of energy E produced when all of its mass is converted to energy is given by Einstein's famous formula, E = m c?, where c = 2.9979 x 10° m/s is %3D the speed of light. We also learned that the energy Ephoton of a single photon is related to its frequency f or wavelength A via Ephoton = hf = hc where h = 6.626 x 1034 m² kg/s is a fundamental constant of nature called Planck's constant. In the electron + positron…arrow_forwarda) An electron gun is used to produce a beam of electrons with a known velocity. The accelerating voltage is 5000 V and the electron mass and charge are 9.1 x 10-31 kg and -1.6 x 10-19 C respectively. Calculate the velocity of the electrons. b) Electrons in a narrow beam travelling at a steady speed of 4.19 x 107 m/s are directed into the space between two oppositely charged parallel plates which are 419 mm long and 60 mm apart. The plate at the top carries a negative charge and the plate at the bottom carries an equal positive charge. The potential difference between the plates is 250 V. The initial direction of the beam is parallel to the plates and midway between them. Draw a diagram showing the direction of the field lines between the plates. Include a description and sketch the path of the electrons as they travel through the field. i) Calculate the force on each electron between the plates. ii) Calculate the time each electron spends between the plates. Derive a formula relating…arrow_forward
- +2.7 mC charged particle (m=1.5 kg) is shot with an initial velocity of 202 m/sec towards a +1.8 mC stationary charge. If the particle starts out 1.4 m from the stationary charge, how close will it come to the charge before turning around and moving away?What is the distance AND direction that the particle can travel?arrow_forwardIonization measurements show that a particular lightweight nuclear particle carries a double charge (= 2e) and is moving with a speed of 0.710c. Its measured radius of curvature in a magnetic field of 1.00 T is 6.28 m. Find the mass of the particle and identify it. (Hints: Lightweight nuclear particles are made up of neutrons (which have no charge) and protons (charge =+e), in roughly equal numbers. Take the mass of each such particle to be 1.00 u.arrow_forwardIn the figure provided, an electron with speed v = 3.98×107 m/s travels between two parallel charged plates. If the plates are separated by a distance d= 3.50 cm and are charged by a 390. V battery, what magnetic field strength is required to allow the electron to pass between the plates without being deflected?arrow_forward
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