Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Question
Chapter 23, Problem 92P
(a)
To determine
The classical electron radius.
(b)
To determine
The radius of proton.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The E particle has a rest energy of 1385 MeV and a lifetime of 2 x 10-2³s. What would
be a typical range of outcomes of measurements of the Σ rest energy?
(a) Show that the kinetic energy of a nonrelativistic particle can be written in terms of its momentum as KE =p2/2m. (b) Use the results of part (a) to find the minimum kinetic energy of a proton confined within a nucleus having a diameter of 1.0 × 10−15m.
Calculate the (relativistic) minimum kinetic energy of an electron confined to a carbon nucleus, which can be modeled as a sphere of radius 2.7 fm.
Sketch the situation, defining all of your variables
Chapter 23 Solutions
Physics for Scientists and Engineers
Ch. 23 - Prob. 1PCh. 23 - Prob. 2PCh. 23 - Prob. 3PCh. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - Prob. 7PCh. 23 - Prob. 8PCh. 23 - Prob. 9PCh. 23 - Prob. 10P
Ch. 23 - Prob. 11PCh. 23 - Prob. 12PCh. 23 - Prob. 13PCh. 23 - Prob. 14PCh. 23 - Prob. 15PCh. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - Prob. 18PCh. 23 - Prob. 19PCh. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Prob. 22PCh. 23 - Prob. 23PCh. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - Prob. 27PCh. 23 - Prob. 28PCh. 23 - Prob. 29PCh. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Prob. 58PCh. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - Prob. 61PCh. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Prob. 73PCh. 23 - Prob. 74PCh. 23 - Prob. 75PCh. 23 - Prob. 76PCh. 23 - Prob. 77PCh. 23 - Prob. 78PCh. 23 - Prob. 79PCh. 23 - Prob. 80PCh. 23 - Prob. 81PCh. 23 - Prob. 82PCh. 23 - Prob. 83PCh. 23 - Prob. 84PCh. 23 - Prob. 85PCh. 23 - Prob. 86PCh. 23 - Prob. 87PCh. 23 - Prob. 88PCh. 23 - Prob. 89PCh. 23 - Prob. 90PCh. 23 - Prob. 91PCh. 23 - Prob. 92PCh. 23 - Prob. 93PCh. 23 - Prob. 94P
Knowledge Booster
Similar questions
- (a) Calculate theγfactor corresponding to a speed ofv= 0.987c. (b) Free neutrons (unbound to a nucleus) are unstable. The mean lifetime of a free neutron at rest is 886 s. As measured by a stationary observer, how long is the mean lifetime of a free neutron traveling at v= 0.987c? (c) A lead ion at rest has a width of 360 pm (picometres). When measured by a stationary observer, what is the width of a lead ion (as measured in the direction of its motion) if it is travellingatv= 0.987c?arrow_forwardConsider an ultrahigh-energy cosmic ray entering the Earth’s atmosphere (some have energies approaching a joule).Construct a problem in which you calculate the energy of the particle based on the number of particles in an observed cosmic ray shower. Among the things to consider are the average mass of the shower particles, the average number per square meter, and the extent (number of square meters covered) of the shower. Express the energy in eV and joules.arrow_forward(a). What are the energies and energy eigenfunctions for a non-relativistic particle of mass m moving on a ring of radius R as shown in Fig. (a)? (b). What are the energies and eigenfunctions if the ring is doubled (each loop still has radius R) shown in Fig. (b)? (c) If the particle has a charge q. What are the energies and energy eigenfunctions if a very long solenoid containing a magnetic flux passes the rings, as shown in Fig. (c)? Assume the system does not radiate electromagnetically. Fig. (a) Fig. (b) Fig. (c)arrow_forward
- Given the following massspectrometer schematic, find theB-field such that the radius of theparticle’s trajectory is 0.194 m. Assume the particle is an electronwith mass 2.36 x 10-26 kg, and beginsits trajectory in an E-field of 2.1 x103 V/m.arrow_forwardProblem 3: (a) Consider an object of constant mass m acted on by a three-force F. According to special relativity, yma + (F. v)v/c2. Hint: Compute E to notice that it appears in dP, and show that prove that F dE dt F.v. (b) In a hot star, a multiply-ionized, hydrogen-like atom with a single remaining electron produces a series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that 1 terminate in the same final state. The longest and shortest wavelengths of the series are 63.3 nm and 22.8 nm, respectively. What is the ion?arrow_forwardThe Yukawa potential adds an exponential term to the long-range Coulomb potential, which greatly shortens the range of the Coulomb potential. It has great usefulness in atomic and nuclear calculations. Voro .To = k еа r r V(r) e ro Find a particle's trajectory in a bound orbit of the Yukawa potential to first order inr/a.arrow_forward
- An unknown moving ion is confined in a OD nanomaterial in which all three dimensions are equals to 5 nm. Estimate with what accuracy its velocity and energy can be measured (given mass of the ion is 4.8×10 26 kg)?arrow_forwardConsidering massive particle with K is a constant specifying the spatial curvature =0 would the dependence of a (t) scale factor of energy and momentum still holds? k is a constant specifying the spatial curvature and a(t) is the scalefactorarrow_forwardThe energy flux of the Sun at the orbit of the Earth (i.e., at 1:5 × 108 km) is equal to ∼ 103 J=m2s. Consider a tiny dustparticle of radius r and density ρ at a distance R away from the Sun. Suppose the particle is at rest in the rest-frame of theSun and absorbs all the radiation shone upon it. Find the threshold radius rc of the particle for which the force of the Sunon the particle vanishes. Show that rc is independent of R. For particles with radii smaller than rc the solar wind dominatesthe gravity of the Sun and the radiation pressure directs them out of the solar system. Find rc for a particle with densityρ = 2 g=cm3.1arrow_forward
- Consider a self-gravitating collection of particles. In such a situation, the mean kinetic energy of the particles will be 1/2 mv^2 = GM | 2R. This is approximate, and arises from something called the virial theorem that you will learn in upper level undergraduate classical mechanics. From this information, figure out what fraction of particles will be above the escape velocity from the collection of particles. (This calculation is relevant for understanding why star clusters evaporate over time).arrow_forwardBefore we introduced the Friedmann equation, we gained some intuition with a Newtonian example of an expanding sphere of uniform density that feels its own gravity. Suppose the sphere is currently static; it has expanded to its maximum size and is about to recollapse. Given that its total energy per mass is U, and its density is currently \rhoρ, what is its current size? Write your answer in meters, using one decimal place. Values: U = -82 J/kg \rhoρ = 545 x 105 kg/m3 Please show work as I have trouble following alongarrow_forwardPlug speed v from equation v = erB/me into equation me*delta v^2 / 2+e and solve for the desired charge-to-mass ratio. Show all steps and final results.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON