Answered: A uniform magnetic field of 2.00×10¬³T…

A uniform magnetic field of 2.00×10¬³T is applied to put an electron into a circular orbit with angular momentum 5.00×10¬25 kg m²/s. Calculate the orbital radius and the speed of the electron.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter31: Particle Physics

Section: Chapter Questions

Problem 52P

See similar textbooks

Similar questions

The 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.
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?
Describe 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.
A metal ball of mass 0.484 kg collides elastically with a charged mass of 0.242 kg, which immediately enters a magnetic field of 1280 T at right angles to the field. The radius of curvature of the mass is 3.55 m. If the second mass carries a charge of 1.5 mC how fast was the metal ball traveling before the collision?
A beam of a particles (helium nuclei) is used to treat a tumor located 11.1 cm inside a patient. To penetrate to the tumor, the a particles must be accelerated to a speed of 0.558c, where c is the speed of light. (Ignore relativistic effects.) The mass of an a particle is 4.003 u and its charge is +2e. The cyclotron used to accelerate the beam has radius 1.50 m. What is the magnitude of the magnetic field? The mass of a proton is 1.6605×10-27 kg/u.
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.
(unrealistic) E/M Forces 6. A particle of charge q = 0. 25C and mass m = 1.0kg is moving with a velocity of v = (2,0,0)m/s. The charged particle finds itself in an electric field of E = (8,8,8)N/C and a magnetic field of B = (0,0, -2)T. What will be the initial vector acceleration of the particle?
Alpha particles of mass 6.68 × 10 ^ -27 kg and charge 3.2 × 10 ^ -19 C are accelerated in a cyclotron in which a magnetic field of 1.25 T is applied perpendicular to the dees (dees is the name given to two electrodes hollow semicircular, as they are D-shaped). With what period should the electric field be reversed between the dees? A.)5.25 × 10 ^ -8 s B.)955.25 × 10 ^ -8 s C.)55.25 × 10 ^ -8 s D.)575.25 × 10 ^ -8 s E.) None before and / or after is correct.
The circular particle accelerator at CERN has a radius of about 4.24 km. The accelerator uses strong magnetic fields to steer charged particles in a circle, while electric fields give them more and more energy every time around. Suppose we're steering protons using magnetic fields of magnitude 8.26 T. What would be the magnitude of the momentum, p, of a proton under those conditions? You may assume that the magnetic field involved is perpendicular to the motion of the charges (that's the most efficient configuration).
A proton moving at speed v = 1.00 x 106 m/s enters a region in space where a magnetic fi eld givenby B = (–0.500 T) z exists. The velocity vector of the proton is at an angle θ = 60.0° with respect tothe positive z-axis. a) Analyze the motion of the proton and describe its trajectory (in qualitativeterms only). b) Calculate the radius, r, of the trajectory projected onto a plane perpendicular to themagnetic fi eld (in the xy-plane). c) Calculate the period, T, and frequency, f, of the motion in thatplane. d) Calculate the pitch of the motion (the distance traveled by the proton in the direction ofthe magnetic fi eld in 1 period).
One electron collides elastically with a second electron initially at rest. After the collision, the radii of their trajectories are 1.05 cm and 2.59 cm. The trajectories are perpendicular to a uniform magnetic field of magnitude 0.0129 T. Determine the energy (in keV) of the incident electron.
A charged particle having charge 4x1018 C and mass 20 g moves with a velocity of i = (î – 2j ) in a region in which the magnetic field is B = (-î+ 4ĵ + k ) T and electric Q3- %3D field is Ē = (4î – 2ĵ – K) V /m . Find %3D (a) the electric force this particle experiences, (b) the magnetic force this particle experiences, (c the acceleration this particle experiences.