Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 54CE
(a)
To determine
The ratio of the objects mass after the collision to its mass before the collision.
(b)
To determine
Whether the kinetic energy increase or decrease.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a) A particle with mass m has kinetic energy equal to three times its rest energy. What is the de Broglie wavelength of this particle? (Hint: You must use the relativistic expressions for momen- tum and kinetic energy: E2 = (pc2) + (mc2)2 and K = E - mc2.) (b) Determine the numerical value of the kinetic energy (in MeV) and the wavelength (in meters) if the particle in part (a) is (i) an electron and (ii) a proton.
Problem 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?
The lifetime of a muon is 2.2 μs traversing the atmosphere at 0.98c (average)
(a) What is the lifetime (Dt) of this unstable relativistic elementary particle in the rest reference frame of earth?
(b) What is the minimum energy uncertainty range (DE) of this unstable particle?
Chapter 3 Solutions
Modern Physics
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - A ball rebounds elastically from the floor. What...Ch. 3 - Prob. 9CQCh. 3 - Prob. 10CQ
Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - What is the stopping potential when 250 nm...Ch. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Verify that the Chapter 2 formula KE=mc2 applies...Ch. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47CECh. 3 - Prob. 49CECh. 3 - Prob. 50CECh. 3 - Prob. 51CECh. 3 - Prob. 52CECh. 3 - Prob. 53CECh. 3 - Prob. 54CECh. 3 - Prob. 55CE
Knowledge Booster
Similar questions
- The relation for total energy (E ) and momentum (p) for a relativistic particleis E 2 = c2 p2 + m2c4, where m is the rest mass and c is the velocity of light.Using the relativistic relations E = ω and p = k, where ω is the angularfrequency and k is the wave number, show that the product of group velocity(vg) and the phase velocity (vp) is equal to c2, that is vpvg = c2arrow_forwardDetermine the probability distribution function in the phase space for a relativistic particle in a volume V and with energy ε(p) = √√√/m²c²+p²c², where p is the ab- solute value of the momentum, m the mass, and c the speed of light. Give the final result in terms of the modified Bessel functions r+∞ Ky (z) = ™ (v-1)! 2 -zcosht e cosh (vt) dt Ky(z) ~ Check what happens in the limit ² →0. mc² kT z 0.arrow_forwardAn antiproton has the same mass and rest energy (938.3 MeV) as a proton, but has a negative change -e instead of the positive charge +e of the proton. A proton and an antiproton, initially far apart, move toward each other with the same speed and collide head-on, annihilating each other and producing two photons. Find the energies and wavelengths of the photons if the initial kinetic energies of the proton and antiproton are (a) both negligible and (b) both 545 MeV.arrow_forward
- you have trapped neutrons in a box. What must be the size of the box if you measure photons of the same energy that you emit when the neutrons jump from the n=8 energy state back to ground state. Recall that body temperature is about 37 degrees celcius. (disclaimer: the answer is supposed to be 3.12*10^-10 m but I have not gotten anwsers near that value is it even possible to get the answer mentioned above? Any help in getting and or showing the steps to get the above answer is greatly appreciated!)arrow_forwardThe 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?arrow_forwardIn an experiment, a light source of 620 nm is used to eject electrons from a material. Initially, there is emission. The emission takes place when the material is moved towards the material at a velocity of 0.3c. From this data calculate the work function of the material.arrow_forward
- (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.arrow_forwardWrite down an expression for the wavelength 1 in terms of the energy E, mass m of a particle and of the Plank's constant h. Write down the relationship between the classical kinetic energy E and momentum p for a body of mass m. Please use the usual "+", "-", "*" ' (for multiplication), and "/" (for division) signs (without the quotes) for algebraic symbols: e.g. use p*c for p × c. For powers use "^-3" (e.g use "p^-3" for p³), for v3 use "sqrt 3", for ymu use "sqrt(m*v)" etc. (all without the quotes). For complex calculations you must indicate the correct order of operations: for example use "m/(k*c)" or "m/k/c" for . Use "Check response" button that the answer is as you expect before submission. kcarrow_forwardA π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.arrow_forward
- Problem 1: (a) A non-relativistic, free particle of mass m is bouncing back and forth between two perfectly reflecting walls separated by a distance L. Imagine that the two oppositely directed matter waves associated with this particle interfere to create a standing wave with a node at each of the walls. Find the kinetic energies of the ground state (first harmonic, n = 1) and first excited state (second harmonic, n = 2). Find the formula for the kinetic energy of the n-th harmonic. (b) If an electron and a proton have the same non-relativistic kinetic energy, which particle has the larger de Broglie wavelength? (c) Find the de Broglie wavelength of an electron that is accelerated from rest through a small potential difference V. (d) If a free electron has a de Broglie wavelength equal to the diameter of Bohr's model of the hydrogen atom (twice the Bohr radius), how does its kinetic energy compare to the ground-state energy of an electron bound to a Bohr model hydrogen atom?arrow_forwardConsider 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_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
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