Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 39, Problem 43AP
To determine
The fractional uncertainty in the mass determination of
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A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.
A neutral pion 770 (rest energy = 135.0 MeV) produced in a high-energy particle experiment moves at a speed of 0.851c. After a very
short time, it decays into two y-ray photons. One of the y-ray photons has an energy of 126 MeV. What is the energy (in MeV) of the
second y-ray photon? Take relativistic effects into account.
Number i
Before decay
Units
E
mm
After decay
E₂
mu
The muon is unstable and has a mean lifetime of about 2.2
microseconds. A muon is an elementary particle similar to the electron.
with an electric charge of -1 e, but with a much greater mass. The mass
of a muon is 0.1135u, where the Atomic mass unit u = 1.66 x 10^-27 kg. It decays into an electron and two neutrinos. What is the energy released in this decay (in MeV)? Recall 1 eV = 1.6 x 10^-19 J).
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 39.1 - Prob. 39.1QQCh. 39.2 - Prob. 39.2QQCh. 39.2 - Prob. 39.3QQCh. 39.2 - Prob. 39.4QQCh. 39.3 - Prob. 39.5QQCh. 39.5 - Prob. 39.6QQCh. 39.6 - Prob. 39.7QQCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3P
Ch. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 35PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40APCh. 39 - Prob. 41APCh. 39 - Prob. 43APCh. 39 - Prob. 44APCh. 39 - Prob. 45APCh. 39 - Prob. 46APCh. 39 - Prob. 47CPCh. 39 - Prob. 48CPCh. 39 - Prob. 49CPCh. 39 - Prob. 50CP
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- A muon, or mu meson, has the same charge as an electron, but is 207 times as massive. a) Compared with electron-positron pair production, the pair production of a muon and antimuon requires a photon of what energy? E = _____ MeV b) What would be the minimum frequency for such a photon? f = _________ Hzarrow_forwardMu mesons are subatomic particles which are created when cosmic rays strike the top of the atmosphere. The travel downward at 99.5% of the speed of light. Mu meson counters were placed at the top and bottom of Mt. Washington, which is 6265 feet (1909.6 m) tall. Mu mesons are unstable particles with a half-life of 1.53 x 106 s. 3. a. How long does it take the mu mesons to go from the top to the bottom of the mountain? How many half-lives is this? 6.40x10 s, 4.18 half-lives If the counter at the top of the mountain detects 560 mu mesons per second, how many should be detected after 4 half-lives? b. ou naz 35 per second MacBook Pro escarrow_forwardAn electron and a positron, each with a kinetic energy of 2.500 MeV, annihilate, creating two photons that travel away in opposite directions.What is the frequency of each photon?arrow_forward
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