Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29, Problem 42P
To determine
Prove that the Doppler shift in wavelength of
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Review. Refer to Section 38.4. Prove that the Doppler shift
in wavelength of electromagnetic waves is described by
1+ v/c
1– v/e
A' = A.
where ' is the wavelength measured by an observer moving
at speed vaway from a source radiating waves of wavelength A.
2
The highest-energy cosmic ray ever detected had an energy of about 3.0 x 1020 eV. Assume that this cosmic ray was a proton.a. What was the proton’s speed as a fraction of c?b. If this proton started at the same time and place as a photon traveling at the speed of light, how far behind the photon would it be after traveling for 1 ly?
Chapter 29 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Ch. 29.2 - Prob. 29.1QQCh. 29.2 - Prob. 29.2QQCh. 29.4 - Prob. 29.3QQCh. 29.5 - Prob. 29.4QQCh. 29.6 - Prob. 29.5QQCh. 29.6 - Prob. 29.6QQCh. 29 - Prob. 1OQCh. 29 - Prob. 2OQCh. 29 - Prob. 3OQCh. 29 - Prob. 4OQ
Ch. 29 - Prob. 5OQCh. 29 - Prob. 6OQCh. 29 - Prob. 7OQCh. 29 - Prob. 8OQCh. 29 - Prob. 9OQCh. 29 - Prob. 10OQCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 53PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66P
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- With what type of electromagnetic radiation would you observe: A. A star with a temperature of 5800 K? B. A gas heated to a temperature of one million K? C. A person on a dark night?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_forwardIf 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) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/s. (b) Find the ratio of the relativistic kinetic energy to classical.arrow_forward(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_forward(a) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/s. (b) Find the ratio of the relativistic kinetic energy to classical.arrow_forward
- Two spaceships can travel in any direction. Each ship carries equipment to measure the speed of light coming from any targeted star. In one experiment, each ship travels at a constant speed and they measure the speed of light from the same star. Which of the following statements is correct? a. If the spaceships travel in a direction perpendicular to the direction of the incoming light, they both measure a light speed of zero. b. No matter in what direction each spaceship travels, they measure a light speed of c. c. For each ship to measure a light speed of c, both ships must travel in the same direction but they can have unequal speeds. d. If the spaceships travel parallel to the incoming light, but in opposite directions, the ship travelling towards the star measures a greater speed of light.arrow_forward4. A particle of charge q = moves in velocity i (2+ m)i - (5+ m)j- 4k in magnetic field B = (7 + m)j + 2k and electric field E = 58 -j + (2+ m)k . a. Compute the Lorentz force experienced by the particle b. The magnitude of this forcearrow_forwardThe most energetic electromagnetic waves in the universe are gamma-rays from gamma ray bursts (GRBs) from collapsing massive stars, observed by satellites with expected energies of 100 TeV (1 TeV = 1012eV). 1. What is the frequency of these energetic gamma ray photons? 1 eV = 1.60 x 10-19 J. 2. What is the wavelength?arrow_forward
- the average blood velocity is 20.0 cm/s? 3. Estimate magnetic field strength 1 mm away from the axon if magnitude of axon current is I = 4.1×10 A. Suppose, that axon is long straight current caring wire.arrow_forward21. Shining a Laser. You are in the magic school bus alone. For some reason, you decide to shine a laser straight up. The bus is at a height h = 3.50 m, excluding the wheels, and is travelling at a speed v = 0.800c. Now, your crush is on a car at rest, watching as the bus goes right past. (a) What is the time it takes for the light in your perspective to bounce from the laser to the top of the bus, then to the floor, and back to the laser? (b) Do this same calculation, but for your crush's perspective. Hint: Light travels at the same speed from any perspective. (c) What is the ratio of the time from your crush's view and that of your view?arrow_forwardA star is 12.2 ly (light-years) from Earth. HINT (a) At what constant speed (in m/s) must a spacecraft travel on its journey to the star so that the Earth–star distance measured by an astronaut onboard the spacecraft is 4.36 ly? m/s (b) What is the journey's travel time in years as measured by a person on Earth? NO SCIENTIFIC NOTATION ANSWERS THANK YOUarrow_forward
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