Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 57E
(a)
To determine
To Deduce: The formula of wavelength of spectral lines emitted by the hydrogen.
(b)
To determine
To Evaluate: The range of light.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The time before which we don’t know what happened in the universe (10-43 s) is called the Planck time. The theory needed is a quantum theory of gravity and concerns the three fundamental constants h, G, and c. (a) Use dimensional analysis to determine the exponents m, n, l if the Planck time tP = hmGncl . (b) Calculate the Planck time using the expression you found in (a).
A light-year is the distance that light can travel in one year. Similarly, we can define a light-second, light-day, etc. as the distance that light can travel in other time intervals. Calculate the distance represented by each of the following: (Assume that the speed of light is 3 x 10^8m/s)
5 light-minutes
6 light-days
6 light-days, but this time answer in miles (enter just the number with no units)
The special theory of relativity has what effect on measurements done today? (a) None whatsoever, because any correction would be negligible. (b) We need to consider the effects of relativity when objects move close to the speed of light. (c) We should always make a correction for relativity because Newton’s laws are basically wrong. (d) It doesn’t matter, because we can’t make measurements where relativity would matter.
Chapter 2 Solutions
Modern Physics
Ch. 2 - Explain to your friend, who is willing to accept...Ch. 2 - A friend says, “It makes no sense that Anna could...Ch. 2 - The Lorentz transformation equations have x and t...Ch. 2 - You are gliding over Earth’s surface at a high...Ch. 2 - A thin plate has a round hole whose diameter in...Ch. 2 - In the twin paradox situation, a fellow student...Ch. 2 - Does the asymmetric aging of an Earthbound...Ch. 2 - You are floating in space when you notice a flying...Ch. 2 - Prob. 9CQCh. 2 - A relativity enthusiast says, “If E=mc2 and energy...
Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Two objects isolated from the rest of the universe...Ch. 2 - Particles of light have no mass. Does the Sun’s...Ch. 2 - Prob. 15CQCh. 2 - In a television picture tube, a beam of electrons...Ch. 2 - Prob. 17ECh. 2 - Verify that the special case x=vt,x=0 leads to...Ch. 2 - If an object actually occupies less space...Ch. 2 - Through a window in Carl’s spaceship, passing at...Ch. 2 - According to an observer on Earth, a spacecraft...Ch. 2 - According to Bob on Earth, Planet Y (uninhabited)...Ch. 2 - Anna is on a railroad flatcar moving at 0.6c...Ch. 2 - A polevaulter holds a 16 ft. pole. A barn has...Ch. 2 - Anna and Bob are in identical spaceships, each 100...Ch. 2 - Bob is watching Anna fly by in her new highspeed...Ch. 2 - Rob and Bob Jr. stand at open doorways at opposite...Ch. 2 - The diagram shows Bob’s view of the passing of two...Ch. 2 - Refer to Figure 2.18. (a) How long is a spaceship?...Ch. 2 - You are in a bus traveling on a straight road at...Ch. 2 - A spaceship travels at 0.8c. As this spaceship...Ch. 2 - You are on a highspeed train, traveling at a...Ch. 2 - A famous experiment detected 527 muons per hour at...Ch. 2 - In the frame in which they are at rest, the number...Ch. 2 - A supersonic plane travels at 420 m/s. As this...Ch. 2 - Prob. 36ECh. 2 - According to Bob, on Earth, it is 20 ly to Planet...Ch. 2 - A plank, fixed to a sled at rest in frame S, is of...Ch. 2 - Bob in frame S, is observing the moving plank of...Ch. 2 - An experimenter determines that a particle created...Ch. 2 - A muon has a mean lifetime of 2.2s in its rest...Ch. 2 - A pion is an elementary particle that, on averages...Ch. 2 - Anna and Bob have identical spaceships 60 m long....Ch. 2 - Demonstrate that equations (212) and (213) become...Ch. 2 - Planet W is 12 ly from Earth. Anna and Bob are...Ch. 2 - Anna and Bob are both born just as Anna’s...Ch. 2 - Consider Anna, Bob, and Carl in the twin paradox....Ch. 2 - You stand at the center of your 100 m spaceship...Ch. 2 - From a standstill, you begin jogging at 5 m/s...Ch. 2 - A meterstick is glued to the wall with its 100 cm...Ch. 2 - Prob. 51ECh. 2 - By what factor would a star’s characteristic...Ch. 2 - At rest, a light source emits 532 nm light. (a) As...Ch. 2 - The light from galaxy NGC 221 consists of a...Ch. 2 - A space probe has a powerful light beacon that...Ch. 2 - Prob. 56ECh. 2 - Prob. 57ECh. 2 - To catch speeders, a police radar gun detects the...Ch. 2 - Bob is on Earth. Anna is on a spacecraft moving...Ch. 2 - According to Anna, on Earth, Bob is on a spaceship...Ch. 2 - Prove that if v and u are less than c, it is...Ch. 2 - In a particle collider experiment, particle 1 is...Ch. 2 - A light beam moves in the xyplane and has an...Ch. 2 - A light beam moves at an angle ? with the xaxis as...Ch. 2 - You tire a light signal at 60° north of west. (a)...Ch. 2 - At t=0 , a bright beacon at the origin flashes,...Ch. 2 - Prob. 67ECh. 2 - By applying the relativistic velocity...Ch. 2 - Prob. 69ECh. 2 - What are the momentum, energy, and kinetic energy...Ch. 2 - What would be the internal energy, kinetic energy,...Ch. 2 - By how much (in picograms) does the mass of 1 mol...Ch. 2 - Prob. 73ECh. 2 - A typical household uses 500 kWh of energy in 1...Ch. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Prob. 77ECh. 2 - Show that the relativistic expression for kinetic...Ch. 2 - At Earth’s location, the intensity of sunlight is...Ch. 2 - Prob. 80ECh. 2 - Prob. 81ECh. 2 - Prob. 82ECh. 2 - How fast must an object be moving for its kinetic...Ch. 2 - How much work must be done to accelerate an...Ch. 2 - An electron accelerated from rest through a...Ch. 2 - What is the momentum of a proton accelerated...Ch. 2 - A proton is accelerated from through a potential...Ch. 2 - xzA particle of mass m0 moves the lab at 0.6c....Ch. 2 - 89. The boron14 nucleus (mass: 14.02266 u) “beta...Ch. 2 - A 3.000 u object moving to the right through a...Ch. 2 - A 10 kg object is moving to the right at 0.6c. It...Ch. 2 - Particle 1, of mass m1 , moving at 0.8c relative...Ch. 2 - Consider the collisions of two identical...Ch. 2 - A kaon (denoted K0 ) ¡s an unstable particle mass...Ch. 2 - In the frame of reference shown, a stationary...Ch. 2 - Prob. 96ECh. 2 - Show that E2=p2c2+m2c4 follows from expressions...Ch. 2 - Equation (2-30) is an approximation correct only...Ch. 2 - According to an observer at Earth’s equator, by...Ch. 2 - If it is fundamental to nature that a given mass...Ch. 2 - Prob. 101ECh. 2 - Suppose particles begin moving in one dimension...Ch. 2 - Prob. 103ECh. 2 - From the Lorentz transformation equations, show...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - For the situation given in Exercise 22, find the...Ch. 2 - Show that equation (236) follows from the...Ch. 2 - A 1 kg object moves at 0.8crelative to Earth. (a)...Ch. 2 - From p=umu (i.e., px=umux , py=umuy , and pz=umuz...Ch. 2 - Prob. 110ECh. 2 - An object of mass 3m0 moves to the right at...Ch. 2 - Prob. 112ECh. 2 - Derive the following expressions for the...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - A point charge +q rests halfway between two steady...Ch. 2 - Prob. 116CECh. 2 - Prob. 117CECh. 2 - A rocket maintains a constant thrust F, giving it...Ch. 2 - Exercise 117 gives the speed u of an object...Ch. 2 - In Example 2.5, we noted that Anna could go...
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
- The Planck time is the unique interval of time that can be built out of G, c, and h. Some physicists think that time intervals shorter than the Planck time have no meaning. Using G = 6.7 x 10-11 kg-1 m3 s-2, c = 3 x 108 m s-1, and h = 6.6 x 10-34 kg m2 s-1, calculate the Planck time, in units of 10-43 s.arrow_forwardThe farthest objects in our Universe discovered by modern astronomers are so distant that light emitted by them takes billions of years to reach the Earth. These objects (known as quasars) have many puzzling features, which have not yet been satisfactorily explained. What is the distance in km of a quasar from which light takes 3.0 billion years to reach us ?arrow_forwardIf we were to analyze the magnetic flux lines of a current-carrying conductor, oriented perpendicularly to a magnetic field between two bar magnets, the interaction would look something like this: S N S N This interaction of magnetic flux lines (the bar magnets' straight lines versus the wire's cireles) will produce a mechanical force on the wire (called the Lorentz force). Which direction will this force act? Also, determine the direction of current through the conductor (seen from an end-view in the above illustration) necessary to produce the circular magnetic flux shown.arrow_forward
- 1. For centuries, we accpeted Newton's 2nd Law as the standard model for motion. Then Einstien came along and siggested a modification in cases of high velocity. The Lorenz factor: γ(v)=(1/square-root of 1−(v^2/c^2)) a) The constant (c) is the speed of light, which is 3 * 10^8 m/s. What is the lim as v approaches 400 γ(v)? You will have to track many decimal places to see a difference from 1. A bullet travels 400 m/s; this limit indicates that time dilation is extremely small (and basically negigible) at that speed. b) In the movie Interstellar, time dialation occurs as 1 hour on the water planet corresponds to 7 years on earth. What is the factor γ in this case (what is the ratio of 7 years to 1 hour)? c) If we rearrange the equation for γ and solve for v, we get: v = c square-root of (γ^2 - 1/γ^2) What velocity v is necesary to get the γ you found in part (b)? d) What is the lim as v approaches c γ(v) ?…arrow_forwardA distant galaxy is observed with a spectrometer. This galaxy produces an emission line that is identified as a Hydrogen transition that normally has a wavelength of 21 cm. For this galaxy, however, the emission line is observed at a wavelength of 33 cm. How fast is this galaxy moving away from us in units of km/s [round off your answer to 1 km/s]arrow_forwardUse Wien’s law to answer the following questions: (a) The cosmic background radiation peaks in intensity at a wavelength of 1.1 mm. To what temperature does this correspond? (b) About 379 000 y after the big bang, the universe became transparent to electromagnetic radiation. Its temperature then was 2970 K.What was the wavelength at which the background radiation was then most intense?arrow_forward
- https://www.compadre.org/PQP/special-relativity/section2_4.cfm A) Look at the first animation. Change the value of Beta. What do you observe when betais 0.1 vs. when beta is 0.9?B) Look at the second animation. Change the value of Beta. What do you observe whenbeta is 0.1 vs. when beta is 0.9?arrow_forward2.90 x 106 nm : K Find the wavelength (in mm) of maximum intensity of the cosmic microwave background radiation observed today. ( Hint: Use Wien's law, Amay mm What band of the electromagnetic spectrum is that in? (Examine the figure.) Visible light Short wavelengths Long wavelengths 4 x 107 5x 107 6x 107 7x 10meters (400 nm) (500 nm) (600 nm) /(700 nm) Wavelength (meters) 10 12 10 10 10 104 102 1 102 104 Gamma- Micro- Ultra- violet X-ray Infrared Radio ray wave UHF VHF FM AM Opaque Visual window Radio window Transparent Short Wavelength Long b O microwave O gamma ray O ultraviolet o o o Opacity of Earth's atmospherearrow_forwardSuppose a star 1000 times brighter than our Sun (that is, emitting 1000 times the power) suddenly goes supernova. Using data from Table: (a) By what factor does its power output increase? (b) How many times brighter than our entire Milky Way galaxy is the supernova? (c) Based on your answers, discuss whether it should be possible to observe supernovas in distant galaxies. Note that there are on the order of 1011 observable galaxies, the average brightness of which is somewhat less than our own galaxy.arrow_forward
- Shown here is the Hawking equation that describes radiation from black holes: 2hG Where: S- entropy (J/K) A- area of the event horizon (m2) k-Boltzman's constant (m² kg/s² K) | c- speed of light h- Planck's constant (m2 kg/s) G- universal gravitation constant (m³/kg s²) a) Using the equation and units of the other terms, find the units for c. %3D b) In this system of units, c = 2.99 x 10%. Convert this to miles/hour.arrow_forwardLet's say that a photon has a wavelength of 40 microns (aka micrometers). Knowing that h*c = 1240 eV*nm, how much energy is this photon carrying in eV? (Hint: pay attention to your unit conversions; 10^6 micrometers = 1 meter and 10^9 nanometers = 1 meter)arrow_forwardwrite a note of 1000 words on semi classical physics?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningFoundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
- Stars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning