College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 30, Problem 66PP
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The number of
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An electron and a positron are moving toward each other and each has speed 0.500c in the lab frame. (a) What is the kinetic energy of each particle? (b) The e+ and e- meet head-on and annihilate. What is the energy of each photon that is produced? (c) What is the wavelength of each photon? How does the wavelength compare to the photon wavelength when the initial kinetic energy of the e+ and e- is negligibly small.
A particle and its anti-particle have the same mass and charge, but the charges will be of
opposite polarity. A particle and its anti-particle annihilate and produce two photons. The
particle has kinetic energy 2.0 MeV collides head on with its anti-particle that is at rest.
Find the energy and momentum of each photon.
(Given the mass of each particle is 0.632MeV/c²)
Select the correct answer choice:
(a) E = 1.088 MeV
E = 3.264 MeV
(b)
(c)
(d)
E = 1.632 MeV
E = 1.088 MeV
p=1.67 MeV/c
p=1.183 MeV/c
p=2.366 MeV/c
p=0.835 MeV/c
A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 19 x 106 m/s, causing the two particles to annihilate.If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 10-4 u, or 9.109 x 10-31 kg.Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.
Chapter 30 Solutions
College Physics (10th Edition)
Ch. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - True or false? During one half-life, the mass of a...Ch. 30 - Changing the temperature of atoms affects their...Ch. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Prob. 7CQCh. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQ
Ch. 30 - Prob. 11CQCh. 30 - Prob. 12CQCh. 30 - Prob. 3MCPCh. 30 - Prob. 4MCPCh. 30 - Prob. 5MCPCh. 30 - Prob. 6MCPCh. 30 - Prob. 7MCPCh. 30 - Prob. 8MCPCh. 30 - Prob. 9MCPCh. 30 - Prob. 10MCPCh. 30 - Prob. 11MCPCh. 30 - Prob. 12MCPCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Calcium-47 is a emitter with a half-life of 4.5...Ch. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - The results of activity measurements on a...Ch. 30 - Prob. 51GPCh. 30 - Prob. 52GPCh. 30 - Prob. 53GPCh. 30 - Prob. 54GPCh. 30 - Prob. 55GPCh. 30 - Prob. 56GPCh. 30 - Prob. 57GPCh. 30 - Prob. 58GPCh. 30 - Prob. 59GPCh. 30 - The atomic mass of 2056Co is 55.934939 u, and the...Ch. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64PPCh. 30 - Prob. 65PPCh. 30 - Prob. 66PPCh. 30 - Prob. 67PPCh. 30 - Prob. 68PPCh. 30 - Prob. 69PPCh. 30 - Prob. 70PPCh. 30 - Prob. 71PP
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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
- A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 29 x 106 m/s, causing the two particles to annihilate.If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 10-4 u, or 9.109 x 10-31 kg.arrow_forwardThe very high speeds of alpha particles make them suitable for experiments that probe the nature of matter. A nucleus ejects an alpha particle with a kinetic energy of 8.3 MeV, a typical energy. How fast is the alpha particle moving?arrow_forwardIn a pair-production reaction, a photon produces a proton-antiproton pair. Y → p + p The rest energy of a proton is 938.3 MeV. (a) What is the lowest possible frequency (in Hz) of the photon that can produce the proton-antiproton pair? Hz (b) What is the wavelength (in m) that corresponds to this lowest possible frequency?arrow_forward
- An electron traveling with a speed of 2.5 x 10^6 meters per second collides with a photon having a frequency of 1 x 10^16 hertz. After the collision, the photon has 3.18 x 10^-18 joule of energy. Determine the energy in joules of the photon before the collision.arrow_forwardAn electron and a positron anihilate with equal and opposite momenta and become two photons: e- +e- → 2 photons. Both the electron and the positron have mass me and momentum of magnitude mec. Explain why the electron and positron cannot annihilate to become a single (a) photon. (b) What are the magnitudes of the momenta of the photons?arrow_forwardAn antiproton has the same mass and rest energy (938.3 MeV) as a proton, but has a negative change -e instead of the positive charge +e of the proton. A proton and an antiproton, initially far apart, move toward each other with the same speed and collide head-on, annihilating each other and producing two photons. Find the energies and wavelengths of the photons if the initial kinetic energies of the proton and antiproton are (a) both negligible and (b) both 545 MeV.arrow_forward
- A positron with a kinetic energy of 2.000MeV collides with an electron at rest and the two particles are annihilated. Two photons are produced; one moves in the same direction as the incoming positron and the other moves in the opposite direction. Find the energies of the photons.arrow_forwardAn electron and a positron, with a mass of 9.1 x 10-31 kilograms, annihilate each other, producing two photons. What is the approximate energy of each emerging photon? It is 0.51 Mev 2.0 MeV 4.0 MeV 1.02 MeV It cannot be determined unless the frequency of the photon is known.arrow_forwardAstronaut A performs an experiment on a spaceship where he measures the speed of photons (light particles) using a laser. He measures the speed of the photons to bec with respect to his spaceship. Another spaceship moves past astronaut A's ship with speed V = 0.8c in the same direction as the photons %3D in astronaut A's experiment is moving. What speed does astronaut B measure for the photons of astronaut A's experiment?arrow_forward
- The Earth has an average surface temperature of 288K and the Sun has an average surface temperature of 5800K. Assume them to be black bodies. If the only radiation that either black body emitted was at it's peak wavelength how many more photons would Earth need to radiation than receive in order for the climate to be stable.arrow_forwardA positron and an electron with negligible kinetic energy meet and annihilate one another, producing two y-rays of equal energy. the wavelength of these y-rays is ..···. O 2.428 pm O 14.28 Á O 4.822 pm O 1.428 pmarrow_forwardAn electron-positron pair approach each other with identical speeds. The particle-pair collide and annihilate, producing two photons with identical wavelengths of 1.9 picometres. Note: 1 picometre = 1 × 10 -12m.(i) Calculate the energy of each of the photons produced. (ii ) Calculate the speed of the electrons before the collision.arrow_forward
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