Explanation Write the expression for the radius of the charged particle moving in a circular path. r = m v q B (I) Here, r is the radius, m is the mass, v is the velocity. q is the charge and B is the magnetic field. Write the expression for the kinetic energy. K . E = p 2 2 m (II) Here, K . E is the kinetic energy and p is the momentum. The charge on the alpha particle is 2 e and charge on beta particle is e . Conclusion: Equating the radius of the alpha and the beta particles using equation (I): m α v α q α B α = m β v β q β B β m α v α 2 q = m β v β q p α = 2 p β Taking the ratio of the kinetic energies of the alpha and the beta particles using equation (II): K . E α K . E β = p α 2 m β p β 2 m α (III) Substitute 2 p β for p α in equation(III) to find K

Physics for Science and Engineering With Modern Physics, VI - Student Study Guide

4th Edition

ISBN: 9780132273244

Author: Doug Giancoli

Publisher: PEARSON

See similar textbooks

Concept explainers

Radioactive decay

The emission of energy to produce ionizing radiation is known as radioactive decay. Alpha, beta particles, and gamma rays are examples of ionizing radiation that could be released. Radioactive decay happens in radionuclides, which are imbalanced atoms. T…

Artificial Radioactivity

The radioactivity can be simply referred to as particle emission from nuclei due to the nuclear instability. There are different types of radiation such as alpha, beta and gamma radiation. Along with these there are different types of decay as well.

Question

Chapter 41, Problem 83GP

To determine

The ratio of the kinetic energies of the alpha particle and the beta particle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 41, Problem 82GP

Chapter 41, Problem 84GP

Students have asked these similar questions

What speed must an alpha particle maintain if it is to remain suspended, relative to Earth's surface, as it travels on a tangent to Earth's surface and perpendicularly through Earth's magnetic field of 50 x 10^-6 T?

Chapter 41 Solutions

Physics for Science and Engineering With Modern Physics, VI - Student Study Guide

Ch. 41.2 - Prob. 1AE Ch. 41.2 - Prob. 1BE Ch. 41.4 - Prob. 1CE Ch. 41.8 - Prob. 1DE Ch. 41.8 - Prob. 1EE Ch. 41.8 - Prob. 1FE Ch. 41.8 - Prob. 1GE Ch. 41 - Prob. 1Q Ch. 41 - Prob. 2Q Ch. 41 - Prob. 3Q

Ch. 41 - Prob. 4Q Ch. 41 - Prob. 5Q Ch. 41 - How do we know there is such a thing as the strong...Ch. 41 - Prob. 7Q Ch. 41 - What is the experimental evidence in favor of...Ch. 41 - Prob. 9Q Ch. 41 - Prob. 10Q Ch. 41 - Prob. 11Q Ch. 41 - Prob. 12Q Ch. 41 - Prob. 13Q Ch. 41 - Prob. 14Q Ch. 41 - Prob. 15Q Ch. 41 - When a nucleus undergoes either or + decay, what...Ch. 41 - Prob. 17Q Ch. 41 - Prob. 18Q Ch. 41 - Prob. 19Q Ch. 41 - Prob. 20Q Ch. 41 - An isotope has a half-life of one month. After two...Ch. 41 - Prob. 22Q Ch. 41 - Prob. 23Q Ch. 41 - Prob. 24Q Ch. 41 - Prob. 25Q Ch. 41 - Prob. 26Q Ch. 41 - Prob. 27Q Ch. 41 - Prob. 28Q Ch. 41 - Prob. 1P Ch. 41 - Prob. 2P Ch. 41 - Prob. 3P Ch. 41 - Prob. 4P Ch. 41 - Prob. 5P Ch. 41 - Prob. 6P Ch. 41 - Prob. 7P Ch. 41 - Prob. 8P Ch. 41 - Prob. 9P Ch. 41 - Prob. 10P Ch. 41 - Prob. 11P Ch. 41 - Prob. 12P Ch. 41 - Prob. 13P Ch. 41 - Prob. 14P Ch. 41 - Prob. 15P Ch. 41 - Prob. 16P Ch. 41 - Prob. 17P Ch. 41 - Prob. 18P Ch. 41 - Prob. 19P Ch. 41 - Prob. 20P Ch. 41 - Prob. 21P Ch. 41 - Prob. 22P Ch. 41 - Prob. 23P Ch. 41 - Prob. 24P Ch. 41 - Prob. 25P Ch. 41 - Prob. 26P Ch. 41 - Prob. 27P Ch. 41 - Prob. 28P Ch. 41 - Prob. 29P Ch. 41 - Prob. 30P Ch. 41 - Prob. 31P Ch. 41 - Prob. 32P Ch. 41 - Prob. 33P Ch. 41 - Prob. 34P Ch. 41 - Prob. 35P Ch. 41 - Prob. 36P Ch. 41 - Prob. 37P Ch. 41 - Prob. 38P Ch. 41 - Prob. 39P Ch. 41 - Prob. 40P Ch. 41 - Prob. 41P Ch. 41 - Prob. 42P Ch. 41 - Prob. 43P Ch. 41 - Prob. 44P Ch. 41 - Prob. 45P Ch. 41 - Prob. 46P Ch. 41 - Prob. 47P Ch. 41 - Prob. 48P Ch. 41 - Prob. 49P Ch. 41 - Prob. 50P Ch. 41 - Prob. 51P Ch. 41 - Prob. 52P Ch. 41 - Prob. 53P Ch. 41 - Prob. 54P Ch. 41 - Prob. 55P Ch. 41 - Prob. 56P Ch. 41 - (II) The activity of a radioactive source...Ch. 41 - Prob. 58P Ch. 41 - Prob. 59P Ch. 41 - Prob. 60P Ch. 41 - Prob. 61P Ch. 41 - Prob. 62GP Ch. 41 - Prob. 63GP Ch. 41 - Prob. 64GP Ch. 41 - Prob. 65GP Ch. 41 - Prob. 66GP Ch. 41 - Prob. 67GP Ch. 41 - Prob. 68GP Ch. 41 - Prob. 69GP Ch. 41 - Prob. 70GP Ch. 41 - Prob. 71GP Ch. 41 - Prob. 72GP Ch. 41 - Prob. 73GP Ch. 41 - Prob. 74GP Ch. 41 - Prob. 75GP Ch. 41 - Prob. 76GP Ch. 41 - Prob. 77GP Ch. 41 - Prob. 78GP Ch. 41 - Prob. 79GP Ch. 41 - Prob. 80GP Ch. 41 - (a) A 72-gram sample of natural carbon contains...Ch. 41 - Prob. 82GP Ch. 41 - Prob. 83GP Ch. 41 - Prob. 84GP Ch. 41 - Almost all of naturally occurring uranium is...Ch. 41 - Prob. 86GP Ch. 41 - Prob. 87GP Ch. 41 - Prob. 88GP Ch. 41 - Prob. 89GP Ch. 41 - Prob. 90GP

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.

Similar questions

(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?
Integrated Concepts A 2.00T magnetic ?eld is applied perpendicular to the path of charged particles in a bubble chamber. What is the radius of curvature of the pain of a 10 MeV proton in this field? Neglect any slowing along its pam.

Recommended textbooks for you

College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning