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 m

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 m

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 32P: A particle of charge q and mass m is accelerated from rest through a potential difference V, after...

See similar textbooks

Similar questions

Repeat the previous problem, but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where Earth’s field is north, but at an angle 45.0° below the horizontal and with a strength of 6.0105T.
A particle of charge q and mass m is accelerated from rest through a potential difference V, after silica it encounters a uniform magnetic field B. If the particle moves in a plane perpendicular to B, shaft is the radius of its circular orbit?
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?
A proton finds itself doing inform circular motion of 1.2 cm rudius due to a uniform 4.5 tesla magnetic field perpendicular to the plane of the circle. a. at what uniform speed is the proton moving? b. what is the frequancy of its cyclotron motion, in hertz?
How strong a magnetic field (B, in Tesla) is needed to keep an electron moving at a speed of (1/100)c in a circular path of radius 1m?
A 3 C charged particle is moving at 1000 m/s, and is subject to a magnetic field of 500 micro-Tesla. What is the magnitude of the magnetic force, in N, acting on it?
Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy source is to store antimatter charged particles in a vacuum chamber, circulating in a magnetic field, and then extract them as needed. Antimatter annihilates with normal matter, producing pure energy. What strength magnetic field in T is needed to hold antiprotons, moving at 1.2 × 107 m/s, in a circular path 1.85 m in radius? Antiprotons have the same mass as protons but the opposite (negative) charge.
Explain path of charged particle in magnetic field at,theta=0°,90°,180°
A particle with a charge of 0.04 C is moving atright angles to a uniform magnetic field with astrength of 0.8 T. The velocity of the charge is 700m/s. What is the magnitude of the magnetic forceexerted on the particle?
A beam of electrons is accelerated through a potential difference of 10 kV before entering a region having uniform eletric and magnetic fields that are perpendicular to eah other and perpendicular to the direction in which the electron is moving. If the magnetic field in this region has a value of 0.010T calculate the magnitude of the eletric field is required if the particles are to be underflected as they pass through the region.
What is the magnitude and direction of the b-field
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?