Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 42E
(a)
To determine
The proof that
(b)
To determine
The proof that group velocity is equal to particle velocity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Answer Question 2
The velocity of an electron is measured to a precision of 62 × 10-³
m/s. What is the minimal uncertainty to which its position can be
measured?
Please give your answer in units of mm, accurate to one decimal place.
I.e, the answer you should enter should have the form: XX.X mm.
Answer:
HELP ME ASAP
1. The universe has a typical temperature of only 3.0 K. If the intensities of light of different frequencies follow a blackbody distribution, then which frequency of light does the universe give off most?
2. A new, extremely precise apparatus has measured momentum (y component) of a certain proton to be: 5 x 10-28 kg m/s with an uncertainty of only 2 x 10-29 kg m/s. If the y-position of the proton is also measured, approximately what is the lowest possible uncertainty with which this measurement can be made?
3. What electrical force does a Uranium nucleus (Z=92) exert on one of its inner electrons, located at a distance of 175 picometers (=1.75 x 10-10m) ?
Chapter 6 Solutions
Modern Physics
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - The diagram below plots (k) versus wave number for...Ch. 6 - Prob. 12CQCh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Prob. 21ECh. 6 - Prob. 22ECh. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Obtain the smoothness conditions at the...Ch. 6 - Prob. 30ECh. 6 - Prob. 31ECh. 6 - Jump to Jupiter The gravitational potential energy...Ch. 6 - Prob. 33ECh. 6 - Obtain equation (618) from (616) and (617).Ch. 6 - Prob. 35ECh. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Prob. 38ECh. 6 - Prob. 39ECh. 6 - Prob. 40ECh. 6 - Prob. 41ECh. 6 - Prob. 42ECh. 6 - Prob. 43ECh. 6 - Prob. 44ECh. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Prob. 47ECh. 6 - Prob. 48ECh. 6 - Prob. 49ECh. 6 - Prob. 50ECh. 6 - Prob. 51CECh. 6 - Prob. 52CECh. 6 - Prob. 53CECh. 6 - Prob. 54CECh. 6 - Prob. 56CE
Knowledge Booster
Similar questions
- Assume that an atomic nucleus can be thought of as a three-dimensional box with a width of 2 x 10^-14 m. If a proton moving as particles in this box, specify : Energy is excited first and second.arrow_forwardProblem 3. Consider the two example systems from quantum mechanics. First, for a particle in a box of length 1 we have the equation h² d²v EV, 2m dx² with boundary conditions (0) = 0 and V(1) = 0. Second, the Quantum Harmonic Oscillator (QHO) = h² d² +kr²V = EV 2m dg²+ka² 1/ k2²) v (a) Write down the states for both systems. What are their similarities and differences? (b) Write down the energy eigenvalues for both systems. What are their similarities and differences? (c) Plot the first three states of the QHO along with the potential for the system. (d) Explain why you can observe a particle outside of the "classically allowed region". Hint: you can use any state and compute an integral to determine a probability of a particle being in a given region.arrow_forwardKindly answer question a & barrow_forward
- question 3 pleasearrow_forwardA particle in a one-dimensional box of length L has a kinetic energy much greater than its rest energy. What is the ratio of the following energy levels En: E2/E1, E3/ E1, E4/E1? How do your answers compare with the nonrelativistic case?arrow_forwardAssuming that the radius of the circular path of the electron is 4.9cm when voltage is 100v and coil current is 1A and The Helmholtz coils have 130 turns and a radius of 15 cm. With N=130 and R=0.15 What is the velocity of the electrons at 100 V, assuming the known charge and mass of the electron from the accepted universal constants that are the basis of SI units? Hints: Do a classical calculation of the kinetic of the electon assuming you know its mass (in kg) and its charge (in coulomb). That will be 1/2 mv2. Equate that to the energy of the electron gained by accelerating in the electric field, that is, eV where "e" is the charge and "V" is the difference potential in volts. Solve for "v", the velocity. Enter your answer in km/s, 103 m/s, without units. It is best to enter only a number, without an "e". For example, if you found 2000 m/s you would enter "2" for the velocity in km/s. Electrons have low mass and achieve high velocity in modest fields.arrow_forward
- Although all energy is kinetic and potential* it is convenient to break it up into coherent macroscopic kinetic energy (KE), macroscopic potential energy (PE), thermal energy (ThE = kinetic and potential energy of molecules due to random motion), chemical energy (ChE = kinetic and potential energy of electrons in atoms in molecule). Consider a small rocket placed on a pad containing an electrical igniter. The rocket is attached to a small packet of chemical explosive in its tail. The igniter lights a short fuse that ignites the chemical explosive shooting the rocket upward. It rises straight up about 50 feet, then falls to the ground where it bounces and comes to a stop.Consider three times: t0 = just after the explosion has completed but the rocket has not risen much t1 = the rocket is just at the top t2 = the rocket has fallen to the ground and come to a stop Identify what has happened to the various energies of the rocket (not including the explosive packet or fuse) from the…arrow_forwardNow let's try it with the momentum. The necessary partial derivatives are: ӘР ар Ovr = mi What's the uncertainty in the momentum SP? ?m - V1 ӘР ?uz - m2 aP ?mz = 02arrow_forwardA rectangular object has length l=30.3±0.6, width w=17.9±0.2. What is the absolute uncertainties in length?arrow_forward
- For a free relativistic quantum particle moving with speed u, the total energy of the particle is E = hf = hω = √p2c2 + m2c4 and the momentum is p = h/λ = hk = γmu. For the quantum wave representing the particle, the group speed is υg = dω/dk. Prove that the group speed of the wave is the same as the speed of the particle.arrow_forward3arrow_forwardThis question is for modern physics and wave and particle: (a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher: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
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College