University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
14th Edition
ISBN: 9780134308142
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 37, Problem 37.59P
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One of the wavelengths of light emitted by hydrogen atoms under normal laboratory conditions is l = 656.3 nm, in the red portion of the electromagnetic spectrum. In the light emitted from a distant galaxy this same spectral line is observed to be Doppler-shifted to l = 953.4 nm, in the infrared portion of the spectrum. How fast are the emitting atoms moving relative to the earth? Are they approaching the earth or receding from it?
One of the wavelengths of light emitted by hydrogen atoms under normal laboratory conditions is λ = 656.3 nm, in the red portion of the electromagnetic spectrum. In the light emitted from a distant galaxy this same spectral line is observed to be Doppler-shifted to λ = 953.4 nm, in the infrared portion of the spectrum. How fast are the emitting atoms moving relative to the earth? Are they approaching the earth or receding from it?
One of the wavelengths of light emitted by hydrogen atoms under normal laboratory conditions is 656 nm, in the red portion of the electromagnetic spectrum. In the light emitted from a distant galaxy, this spectral line is observed to be Doppler-shifted to 953 nm, in the infrared portion of the electromagnetic spectrum. How fast are the emitting atoms moving relative to the earth? Are they approaching the earth or receding from it?
Chapter 37 Solutions
University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
Ch. 37.1 - As a high-speed spaceship flies past you, it fires...Ch. 37.2 - Stanley, who works for the rail system shown in...Ch. 37.3 - Samir (who is standing on the ground) starts his...Ch. 37.4 - A miniature spaceship is flying past you, moving...Ch. 37.5 - (a) In frame S events P1 and P2 occur at the same...Ch. 37.7 - According to relativistic mechanics, when you...Ch. 37.8 - A proton is accelerated from rest by a constant...Ch. 37 - You are standing on a train platform watching a...Ch. 37 - If simultaneity is not an absolute concept, does...Ch. 37 - A rocket is moving to the right at 12 the speed of...
Ch. 37 - A spaceship is traveling toward the earth from the...Ch. 37 - The average life span in the United States is...Ch. 37 - Prob. 37.6DQCh. 37 - Two events occur at the same space point in a...Ch. 37 - A high-speed train passes a train platform. Larry...Ch. 37 - Prob. 37.9DQCh. 37 - A student asserts that a material particle must...Ch. 37 - The speed of light relative to still water is 2.25...Ch. 37 - Prob. 37.12DQCh. 37 - Prob. 37.13DQCh. 37 - Why do you think the development of Newtonian...Ch. 37 - What do you think would be different in everyday...Ch. 37 - Suppose the two lightning bolts shown in Fig....Ch. 37 - The positive muon (), an unstable particle, lives...Ch. 37 - How fast must a rocket travel relative to the...Ch. 37 - A spaceship flies past Mars with a speed of 0.985c...Ch. 37 - The negative pion () is an unstable particle with...Ch. 37 - As you pilot your space utility vehicle at a...Ch. 37 - A spacecraft flies away from the earth with a...Ch. 37 - An alien spacecraft is flying overhead at a great...Ch. 37 - A spacecraft of the Trade Federation rites past...Ch. 37 - A meter stick moves past you at great speed. Its...Ch. 37 - Why Are We Bombarded by Muons? Muons are unstable...Ch. 37 - An unstable particle is created in the upper...Ch. 37 - As measured by an observer on the earth, a...Ch. 37 - A rocket ship flies past the earth at 91.0% of the...Ch. 37 - An observer in frame S is moving to the right...Ch. 37 - Space pilot Mavis zips past Stanley at a constant...Ch. 37 - A pursuit spacecraft from the planet Tatooine is...Ch. 37 - An enemy spaceship is moving toward your...Ch. 37 - Two particles are created in a high-energy...Ch. 37 - Two particles in a high-energy accelerator...Ch. 37 - Two particles in a high-energy accelerator...Ch. 37 - An imperial spaceship, moving at high speed...Ch. 37 - Tell It to the Judge. (a) How fast must you be...Ch. 37 - Electromagnetic radiation from a star is observed...Ch. 37 - A source of electromagnetic radiation is moving in...Ch. 37 - Relativistic Baseball. Calculate the magnitude of...Ch. 37 - A proton has momentum with magnitude p0 when its...Ch. 37 - When Should You Use Relativity? As you have seen,...Ch. 37 - Prob. 37.29ECh. 37 - An electron is acted upon by a force of 5.00 1015...Ch. 37 - What is the speed of a particle whose kinetic...Ch. 37 - If a muon is traveling at 0.999c, what are its...Ch. 37 - A proton (rest mass 1.67 1027 kg) has total...Ch. 37 - (a) How much work must be done on a particle with...Ch. 37 - An Antimatter Reactor. When a particle meets its...Ch. 37 - Electrons are accelerated through a potential...Ch. 37 - A particle has rest mass 6.64 1027 kg and...Ch. 37 - Creating a Particle. Two protons (each with rest...Ch. 37 - Compute the kinetic energy of a proton (mass 1.67 ...Ch. 37 - What is the kinetic energy of a proton moving at...Ch. 37 - (a) Through what potential difference does an...Ch. 37 - Prob. 37.42ECh. 37 - After being produced in a collision between...Ch. 37 - Inside a spaceship flying past the earth at...Ch. 37 - The starships of the Solar Federation are marked...Ch. 37 - A cube of metal with sides of length a sits at...Ch. 37 - A space probe is sent to the vicinity of the star...Ch. 37 - A muon is created 55.0 km above the surface of the...Ch. 37 - The Large Hadron Collider (LHC). Physicists and...Ch. 37 - The net force F on a particle of mass m is...Ch. 37 - Everyday Time Dilation. Two atomic clocks are...Ch. 37 - The distance to a particular star, as measured in...Ch. 37 - CP erenkov Radiation. The Russian physicist P A....Ch. 37 - Prob. 37.54PCh. 37 - CP A nuclear bomb containing 12.0 kg of plutonium...Ch. 37 - In the earths rest frame, two protons are moving...Ch. 37 - In certain radioactive beta decay processes, the...Ch. 37 - Two events are observed in a frame of reference S...Ch. 37 - One of the wavelengths of light emitted by...Ch. 37 - Albert in Wonderland. Einstein and Lorentz, being...Ch. 37 - Measuring Speed by Radar. A baseball coach uses a...Ch. 37 - Prob. 37.62PCh. 37 - CP In a particle accelerator a proton moves with...Ch. 37 - CP The French physicist Armand Fizeau was the...Ch. 37 - DATA As a research scientist at a linear...Ch. 37 - Prob. 37.66PCh. 37 - DATA You are a scientist studying small aerosol...Ch. 37 - CP Determining the Masses of Stars. Many of the...Ch. 37 - CP Kaon Production. In high-energy physics, new...Ch. 37 - Prob. 37.70CPCh. 37 - An airplane has a length of 60 m when measured at...Ch. 37 - If the airplane of Passage Problem 37.71 has a...Ch. 37 - In our universe, the rest energy of an electron is...Ch. 37 - In the alternate universe, how fast must an object...
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- (i) Does the speed of an electron have an upper limit? (a) yes, the speed of light c (b) yes, with another value (c) no (ii) Does the magnitude of an electrons momentum have an upper limit? (a) yes, mec (b) yes, with another value (c) no (iii) Does the electrons kinetic energy have an upper limit? (a) yes, mec2 (b) yes, 12mec2 (c) yes, with another value (d) noarrow_forwardIn December 2012, researchers announced the discovery of ultramassive black holes, with masses up to 40 billion times themass of the Sun (seen as the bright spot at the center of the galaxy near the center of Fig. P39.78). a. What is the Schwarz-schild radius of a black hole that has a mass 40 billion times that of the Sun? b. Suppose this black hole is 1.3 billion ly from theEarth. What is the angular radius of a galaxy that is 1.7 billion lybehind it, as viewed from the Earth? FIGURE P39.78arrow_forwardAn Earth satellite used in the Global Positioning System moves in a circular orbit with period 11 h 58 min. (a) Determine the radius of its orbit. (b) Determine its speed. (c) The satellite contains an oscillator producing the principal nonmilitary GPS signal. Its frequency is 1 575.42 MHz in the reference frame of the satellite. When it is received on the Earths surface, what is the fractional change in this frequency due to time dilation, as described by special relativity? (d) The gravitational blueshift of the frequency according to general relativity is a separate effect. The magnitude of that fractional change is given by ff=Ugmc2 where Ug/m is the change in gravitational potential energy per unit mass between the two points at which the signal is observed. Calculate this fractional change in frequency. (e) What is the overall fractional change in frequency? Superposed on both of these relativistic effects is a Doppler shift that is generally much larger. It can be a redshift or a blueshift, depending on the motion of a particular satellite relative to a GPS receiver (Fig. P1.39).arrow_forward
- If a galaxy moving away from the Earth has a speed of 1000 km/s and emits 656 nm light characteristic of hydrogen (the most common element in the universe). (a) What wavelength would we observe on Earth? (b) What type of electromagnetic radiation is this? (c) Why is the speed of Earth in its orbit negligible here?arrow_forward(a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator, if =1.00105 for them? (b) What is their total energy (nearly the same as kinetic in this case) in GeV?arrow_forwardSuppose an astronaut is moving relative to the Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his clocks to have slowed? (b) What change in the rate of Earth-bound clocks does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between stars that lie on lines parallel to his motion? (e) Do he and an Earth-bound observer agree on his velocity relative to the Earth?arrow_forward
- An observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in Figure P39.85. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the spacecraft?arrow_forwardSuppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?arrow_forwardAn observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled by S in Figure P26.46. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the spacecraft? Figure P26.46arrow_forward
- The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 μs. Suppose the muons move at a speed of 0.95c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?arrow_forward(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0x109ly away is receding from us at 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 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_forwardThe light from a heated atomic gas is shifted in frequency because of the random thermal motion of light-emitting atoms toward or away from an observer. Estimate the fractional Doppler shift (f/f0), assuming that light of frequency f0 is emitted in the rest frame of each atom, that the light-emitting atoms are iron atoms in a star at temperature 6000 K, and that the atoms are moving relative to an observer with the mean speed =8kBTm Must we use the relativistic Doppler shift formulas f=f01/c1/c for this calculation? Such thermal Doppler shifts are measurable and are used to determine stellar surface temperatures.arrow_forward
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Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY