Explanation Given info: The magnitude of charge of C − 12 and C − 14 is e and are accelerated in a cyclotron that has a magnetic field of magnitude 2.40 T . The mass of C − 12 is 12 amu and C − 14 is 14 amu . The value of 1 amu is 1.66 × 10 − 27 Kg . The formula to calculate the cyclotron frequency is, ω = q B m Here, q is charge of the particle. B is the magnetic field. m is the mass of the particle. The formula to calculate the cyclotron frequency of C − 12 is, ω 12 = q B m Here, q is charge of the particle. B is the magnetic field. m is the mass of C − 12 particle. Substitute 1.6 × 10 − 19 C for q , 2.40 T for B , 12 × 1.66 × 10 − 27 Kg for m , in the above formula as, ω 12 = q B π m = ( 1.6 × 10 − 19 C ) ( 2.40 T ) ( 12 × 1.66 × 10 − 27 Kg ) = 0.192 × 10 8 rad / s = 19.2 M rad / s The formula to calculate the cyclotron frequency of C − 14 is, ω 14 = q B m Here, q is charge of the particle

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name o…

Question

Chapter 29, Problem 29.56AP

To determine

The difference in cyclotron frequencies of the two ions.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 29, Problem 29.55P

Chapter 29, Problem 29.57AP

Students have asked these similar questions

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?

A carbon-14 ion with a charge of +6.408x10^-19 C and a mass of 2.34x10^-26 kg is sent through a mass spectrometer and hits a detector at a point 10.0 cm to the left of where the beam leaves the velocity selector. The velocity selector and the detector are both in a region of magentic field of strength 0.500 T. What is the direction of the magnetic field and what is the speed of the particle after it leaves the velocity selector? Please also explain and show the steps you used to get there/the physics behind why/how you got to the answer to help me better understand. Thank you soo much. Also, the work and the explanation or most important because I already have the correct answer - I'm just unsure of how to get there.

An alpha particle is moving at a speed 5.0x10^5 m/s in a direction perpendicular to a uniform magnetic field of strength 0.040T. The charge on an alpha particle is 3.2x10^-19 C and its mass is 6.6x10^-27 kg. How long does it take the alpha particle (in microseconds) to make one complete revolution around its path? (answer is in 2 significant figures) 1 microsecond= 1x10^-6 seconds

Chapter 29 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 29 - An electron moves in the plane of this paper...Ch. 29 - Prob. 29.2QQ Ch. 29 - A wire carries current in the plane of this paper...Ch. 29 - (i) Rank the magnitudes of the torques acting on...Ch. 29 - Prob. 29.1OQ Ch. 29 - Rank the magnitudes of' the forces exerted on the...Ch. 29 - A particle with electric charge is fired into a...Ch. 29 - A proton moving horizontally enters a region where...Ch. 29 - Prob. 29.5OQ Ch. 29 - A thin copper rod 1.00 in long has a mass of 50.0...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The difference in cyclotron frequencies of the two ions.

Solution Summary: The author explains the difference in cyclotron frequencies of the two ions.

Concept explainers

The difference in cyclotron frequencies of the two ions.

Want to see the full answer?

Chapter 29 Solutions