Concept explainers
DATA You are a technician testing the operation of a cyclotron. An alpha particle in the device moves in a circular path in a magnetic field
Figure F27.80
Want to see the full answer?
Check out a sample textbook solutionChapter 27 Solutions
University Physics with Modern Physics (14th Edition)
Additional Science Textbook Solutions
Human Anatomy & Physiology (2nd Edition)
Applications and Investigations in Earth Science (9th Edition)
Organic Chemistry (8th Edition)
Microbiology with Diseases by Body System (5th Edition)
Cosmic Perspective Fundamentals
Microbiology: An Introduction
- A 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_forwardMagnetic resonance imaging (MRI) is a powerful method that, unlike X-ray imaging, allows sharp images of soft tissue to be taken without exposing the patient to potentially dangerous radiation. The starting point for MRI is nuclear magnetic resonance (NMR), a technique that depends on whether the protons in the atomic nucleus have a magnetic field. The origin of the proton's magnetic field is its spin. In a classical analogy, the proton has a magnetic moment μ⃗ , like a loop of wire; thus, it will have a torque when subjected to an external magnetic field B⃗ 0. The magnitude of μ⃗ is somewhere around 1.4×10−26 J/T. The proton can be thought of as being in one of two states: either oriented parallel or antiparallel to the applied magnetic field, with work being done to invert the proton from the low-energy to the high-energy state. If a nucleus has an even number of protons and neutrons, they will pair up in such a way that half of the protons will have spins in one orientation, and…arrow_forwardA nucleus with 18 protons travels at a velocity of 6.37 x 10^6 m/s through a region of uniform magnetic field strength 3.35 T. The nucleus experiences a magnetic force of 3.13E-11 N. What angle does the nucleus s velocity vector make with respect to the magnetic field direction? 6.1 degrees 24.5 degrees 36.7 degrees 30.6 degreesarrow_forward
- a. Calculate the radius of the helical path traced out by the electron. Give your answer in centimeters. b. Calculate the electron’s cyclotron frequency. Give your answer in Megahertz.arrow_forwardA hypothetical charge 36 pC with mass 72 fghas a speed of 53 km/s and is ejected southward entering a uniform magnetic field of unknown magnitude and direction. If the path traced is clockwise, A. Find the magnitude and direction of the magnetic field that will cause the charge to follow a semicircular path (given the diameter 23 m). B. Find the time required for the charge to complete a semi-circular path from point K to point L. C.Find the magnitude and the direction of the magnetic force at point L. What are the given in the problem? What are the unknown variables? What are the equations that you are going to use? Solution and answer for Part A. Solution and answer for Part B. Solution and answer for Part C. Use GRESA format in answering.arrow_forwardA nucleus with 30 protons travels at a velocity of 1.43 x 10^6 m/s through a region of uniform magnetic field strength 3.96 T. The nucleus experiences a magnetic force of 1.01E-11 N. What angle does the nucleus s velocity vector make with respect to the magnetic field direction?Question 1 options: 21.8 degrees 4.4 degrees 19.6 degrees 32.7 degreesQuestion 2 (5 points) A particle with charge 5.32 x 10^-6 C moves at 7.25 x 10^6 m/s through a magnetic field of strength 3.85 T. The angle between the particle s velocity and the magnetic field direction is 38.0 degrees and the particle undergoes an acceleration of 5.4 m/s^2. What is the particle s mass?Question 2 options: 7.0 kg 16.93 kg 1.1 kg 3.2 kgQuestion 3 (5 points) See the attached figure for this problem. A charge of 5.30 x 10^6 C moves to the right as shown through a region containing both a magnetic field of strength 3.91 T directed into the screen and an electric field of strength 2.79 x 10^5 N/C directed downward. The charge…arrow_forward
- Certain cyclotrons with a magnetic field of 1.8 T are designed to accelerate protons to 25 Mev. a. What is the frequency of this cyclotron? b. What must be the minimum radius of the magnet to reach 25 Mev of energy by the time it emerges from the cyclotron. c. If the alternating potential applied to these two D cyclotrons has a maximum value of 50 kV, how many revolutions must the proton make before exiting the cyclotron with an energy of 25 Mev.arrow_forwardAn electron travels at the speed of 23 x 10^6 m/s in a circular radius and 37 degrees inclined about the nucleus. Determine the distance away, about the nucleus if the magnetic field is 2 T?arrow_forwardTrace the trajectory of the electron in the magnetic field. Show the direction of the electron in the field by using an arrow. Determine the diameter of the circle that the electrion makes in micrometers. v = 3*10^4 m/s B = 4.0*10^-2 Tarrow_forward
- Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's body to form images. a) To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the current needed in a 420-loop-per-meter circular coil 0.66 m in radius to create a 1.3 T field (typical of an MRI instrument) at its center with no iron present. /= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small…arrow_forwardMagnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's body to form images. a) To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the current needed in a 400-loop-per-meter circular coil 0.665 m in radius to create a 1.1 T field (typical of an MRI instrument) at its center with no iron present. |= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small…arrow_forwardPlease type instead of hand writtingarrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning