Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 2.45P
To determine
To Show:
Fractional frequency shift for light dropping through a height
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Estimate the age of the universe (in Gyrs) at the time when radiation was emitted from an object with redshift z. For 1 < z < 3200, you can assume the Universe is matter dominated, in which case a ∝ t^2/3 and equation 5.102 should hold.
Values:
Assume H0 = 70 km/s/Mpc
Ωm,0 = 0.3
z=3.6
Equation 5.102 is :
a(t) = (3/2 (sqrtΩm,0 ) H0 t)^2/3
Derive an expression for E using the attached equation (Lorentz Force Law), and calculate a predicted value for E in N/C if a particle had v = 40 m/s, q = -0.001 C, m = 0.3 ⨉ 10 -3 kg, and B = 0.6 T.
4.3 Time dilation for a biological clock. I trim my moustache every 6 weeks. If I were in a
rocket ship flying past you at a speed of V=c, then how much time, in your frame, would
elapse between my moustache trimmings?
44 Munn lifetime. The lifetime of a stationary muon is 2.2 microseconds. A beam of
Chapter 2 Solutions
Modern Physics For Scientists And Engineers
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - Prob. 2.30PCh. 2 - Prob. 2.31PCh. 2 - Prob. 2.32PCh. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Prob. 2.41PCh. 2 - Prob. 2.42PCh. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52P
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
- Of 1.5, 3, 5, and 10 give the maximum apparent speeds. 2. Consider a relativistic jet with an angle of 70 degrees relative to the line of sight (i.e. it is almost, but not quite perpendicular to the line of sight). Let its value of gamma for the motion be 3. (a) Will it appear superluminal? (b) Will it appear to be brighter or fainter than it would in its own rest frame? 3. State whether the following reactions are possible under special relativity. If not, explainarrow_forwardMass of a proton: 1.007825 u; Mass of a neutron: 1.008665 u 1 The lifetime of a free neutron is 887 s. If a neutron moves with a speed 2.9 × 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? What is this an example of? 2. (a) What is the rest energy (in joules) of a subatomic particle whose (rest) mass is 6.7 x 10-3¹ kg? (b) How many MeV's of energy is this? 3. The rest energy of a particular subatomic particle is 1200 MeV. If this particle is traveling at 90% the speed of light, what is its total relativistic energy?arrow_forward(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0×109 ly ly away is receding from us at 0. 0.900c , at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c , as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from the Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)arrow_forward
- A light source G is moving, with respect to an observer O, at an angle θ=�=154∘∘ between the direction of relative motion and the line of sight from O to G. The redshift of the light emitted by G and measured by O is z=0�=0. Find the speed of G with respect to O in units of c�, the speed of light. Enter your answer to 3 decimal places.arrow_forward3.4. Cosmic ray muons are produced high in the atmosphere (at 8000 m, say) and travel toward the earth at very nearly the speed of light (0.998 c, say). (a) Given the lifetime of the muon (2.2 x 10-6 sec), how far would it go before disintegrating, according to prerelativistic physics? Would the muons make it to ground level? (b) Now answer the same question using relativistic physics. (Because of time di- lation, the muons last longer, so they travel farther.) (c) Now analyze the same process from the perspective of the muon. (In its reference frame it only lasts 2.2 x 10-6 sec; how, then, does it make it to ground?) + (d) Pions are also produced in the upper atmosphere. [In fact, the sequence is proton (from outer space) hits proton (in atmosphere) → p + p + pions. The pions then decay into muons: ¯ → μ¯ + D µ; πt → μ† + vµ.] But the lifetime of the pion is much shorter, a hundredth that of the muon. Should the pions reach ground level? (Assume that the pions also have a speed of…arrow_forwardA light source recedes from an observer with a speed υS that is small compared with c. (a) Show that the fractional shift in the measured wavelength is given by the approximate expression Δλ/λ ≈ υS/cThis phenomenon is known as the redshift because the visible light is shifted toward the red. (b) Spectroscopic measurements of light at λ = 397 nm coming from a galaxy in Ursa Major reveal a redshift of 20.0 nm. What is the recessional speed of the galaxy?arrow_forward
- After being produced, a neutral pion must travel down a tube that is 100 m long to the experimental area. The pion has a lifetime T = 2 x 10 8 sec in its rest frame. How fast must the pion travel if it is not to decay before it reaches the end of the tube? In other words, what is the minimum speed vuin that the pion must have if it is to reach the end of the tube before decaying? Give your answer to 3 significant figures as a multiple of c, the speed of light. Formulas.pdf (Click here-->) ,arrow_forwardIn some experiment, we found the fast meson’s velocity is vf=0.9999c while the slow meson’s velocity is vs=0.9955c. Using unit of c in this problem. (leave two decimal places of your result, i.e. like 1.23) (a) Calculate the ratio of the fast meson's lifetime in the laboratory frame to the slow meson's lifetime in the laboratory frame. (b) Calculate the ratio of the fast meson's decay length to the slow meson's decay length.arrow_forwardA particle is propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a momentum of 7.34E-19 kg.m/s. Determine the mass of that particle, expressed in units of 1E-27kg and keeping three significant digits. (So if the mass was 7E-27kg, you would enter 7).arrow_forward
- Problem 2. Prove that if the relative velocity of the transmitter toward the receiver is +v m/sec, the received frequency of the RF carrier at fe Hz is given by fr = (1+v/c) fe √1-(v/c)2 and if the relative velocity of the transmitter away the receiver is -v m/sec, the received frequency of the RF carrier at fc Hz is given by where c is the speed of light. Hint: Use special relativity. (1-v/c)fe fr = √1-(v/c)2arrow_forwardA particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.arrow_forwardA charged pion & (π‡), an unstable particle of mass 140 MeV/c², is known to decay into a muon (μ‡, mass 106 MeV/c²) and a neutrino (1; we can treat it as massless here). In this decay of pion (→ + ₁), typically only the muon is detected, the neutrino being an electrically neutral particle that rarely interact with other matter. Properties of neutrinos in this decay are inferred from measured properties of pion and muon. Explain, as conceptually as possible, why it is not possible for a pion to simply decay into a muon, without an associated neutrino. That is, why is this decay, π → Mt, impossible? (Note: If you happen to know about lepton numbers and neutrino flavors, please give an explanation that does not make use of concepts we have not yet covered.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction 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 LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege 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
Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY