Concept explainers
Ionization 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. (See Problem 53.)
Want to see the full answer?
Check out a sample textbook solutionChapter 37 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Additional Science Textbook Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
University Physics Volume 1
College Physics: A Strategic Approach (4th Edition)
Essential University Physics (3rd Edition)
Conceptual Physics: The High School Physics Program
- As measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.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_forwardDescribe the following physical occurrences as events, that is, in the form (x, y, z, t): (a) A postman rings a doorbell of a house precisely at noon. (b) At the same lime as the doorbell is lung, a slice of bread pops out of a toaster that is located 10 1T1 from the door in the east direction from the door. (c) Tell seconds later, an airplane arrives at the airport, which is 10 km from the door in the east direction and 2 km to the south.arrow_forward
- Consider a charge of size +3.8 x 10-4 C and mass 8 kg is traveling to the left towards a +1.7 x 10-4 C charge with speed 119 m/s. The +1.7 x 10-4 C charge is so massive that it does not recoil in response to the repulsion of the approaching charge. Calculate how close the two charges get, in m. Use k = 9 x 109 N m2 / kg2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardA certain charged particle has a charge q > 0. The particle moves with a kinetic energy K in a circular path of radius R in the presence of a uniform magnetic field of magnitude B. (Use any variable or symbol stated above as necessary.) (a) What is the speed of the particle? Assume the speed is low compared to the speed of light. (b) What is the mass of the particle?arrow_forwardTwo infinitely-long conductors parallel to the z-axis pass through the points (0,±a).arrow_forward
- At the Relativistic Heavy Ion Collider (RHIC) facility on Long Island, NY, they accelerate gold nuclei (79 protons with a total mass of 3x10-25 kg) with a very strong magnetic field (the proton has a charge of 1.6x10-19 C). If the magnetic field were 2 Tesla, what would be the cyclotron radius of the circular loop that the nuclei circle around in, assuming they go at about the speed of light, 3x108 m/s? (note, in real life, the RHIC collider is considerably larger than this because of relativistic effects!) a. 1.5 m b. 2.5 m c. 3.5 m d. 4.5 marrow_forwardWhat is the period of revolution of alpha particles in a cyclotron with a radius of 0.50 meters, if it is known that the mass of particles is m = 6.64*10−27kg, and their charge is q = 3.2*10−19C? Consider the magnetic field created in the cyclotron equal to 1.8 T. Also calculate the value of their maximum kinetic energy.arrow_forwardElectromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that dE has charge g and acceleration is given by te where y'u' c is the speed of light. di: dt Part A If a proton with a kinetic energy of 5.6 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.580 m, what fraction of its energy does it radiate per second? (dE/dt) 1 E Part B IV | ΑΣΦ (dE/dl)-1s + [VΕΙ ΑΣΦΑ Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second? po A ? ?arrow_forward
- 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?arrow_forwardA cyclotron used to accelerate protons has a uniform magnetic field of 0.69 T. What is the frequency at which the potential difference between the dees must oscillate? (Your result must be in units of MHz's. Include 1 digit after the decimal point and maximum of 3% 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 π = 3.14.)arrow_forwardWhat is the velocity of a proton with a kinetic energy of 3.4 eV. Give your answers in 105 m/s with 3 decimal places.arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax