Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 31, Problem 4P
(a)
To determine
The magnitude of minimum frequency.
(b)
To determine
The wavelength of each photon.
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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?
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What speed must a particle attain before its kinetic energy is double the value predicted by the nonrelativistic expression KE = 1/ 2mv2?
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Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 31.2 - Given the identification of the particles in...Ch. 31.5 - Prob. 31.2QQCh. 31.5 - Prob. 31.3QQCh. 31.5 - Prob. 31.4QQCh. 31.9 - Prob. 31.5QQCh. 31 - Prob. 1OQCh. 31 - Prob. 2OQCh. 31 - Prob. 3OQCh. 31 - Prob. 4OQCh. 31 - Prob. 5OQ
Ch. 31 - Prob. 6OQCh. 31 - Prob. 7OQCh. 31 - Prob. 8OQCh. 31 - Prob. 1CQCh. 31 - Prob. 2CQCh. 31 - Prob. 3CQCh. 31 - Prob. 4CQCh. 31 - Prob. 5CQCh. 31 - Prob. 6CQCh. 31 - Prob. 7CQCh. 31 - Prob. 8CQCh. 31 - Prob. 9CQCh. 31 - Prob. 10CQCh. 31 - Prob. 11CQCh. 31 - Prob. 12CQCh. 31 - Prob. 13CQCh. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - Prob. 49PCh. 31 - Prob. 50PCh. 31 - Prob. 51PCh. 31 - Prob. 52PCh. 31 - Prob. 53PCh. 31 - Prob. 54PCh. 31 - Prob. 55PCh. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - Prob. 58PCh. 31 - Prob. 59PCh. 31 - Prob. 60PCh. 31 - Prob. 61PCh. 31 - Prob. 62PCh. 31 - Prob. 63PCh. 31 - Prob. 64PCh. 31 - Prob. 65P
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- What is the rest energy of a neutron? (c = 2.9979 x 109 m/s, mn = 1.6749 x 10-27)arrow_forwardHow fast would a proton have to be traveling in order to have the same momentum as a photon with a frequency of 8.18 x 10^18 Hz?arrow_forward1 Because of their short lifetimes, very few muons that are produced in the upper atmosphere at high speeds should be observed at the surface of the earth. Yet we detect large numbers of muons at ground level because of A) time dilation B) length contraction C)the equivalence of mass and energy D)principle of relativity E)none of the other choices 2 Which of the following is not a fundamental force in nature? A) mass energy interaction B) strong interaction C) weak interaction D) electromagnetic interaction E) gravitational interaction 3 These particles possess half-integral spins and obey Pauli exclusion principles A )fermions B) boson C) muon D)hadron E)photonarrow_forward
- What speed must a particle attain before its kinetic energy is double the value predicted by the nonrelativistic expression KE = ½mv2? ?carrow_forwardCalculate the wavelength of a photon that has the same energy as the rest energy of an electron (0.511 MeV).arrow_forwardAn electron and an antielectron (each has mass 9.11 x 10-31 kg), each traveling at 0.6c relative to the lab frame, collide head on and annihilate, resulting in the creation of two identical photons which travel away in opposite directions. What is the frequency of each photon?arrow_forward
- Which statements are impossible and which statements are true? 1.The rocket's speed was measured to be 0.44c. 2. The rocket's rest length is 144 m. An observer flying by measured the rocket to be 428 m long. 3. A rocket flying towards the Sun at 0.57c measured the speed of the photons (particles of light) emitted by the Sun to be 0.56c. 4. An inertial reference frame had an acceleration of 9.8 m/s2. 5. The proper time interval between two events was measured to be 215 s. The time interval between the same two events (as measured by an observer not in the proper frame) was 153 s 6.The Lorentz factor, ?, has a range that extends from one to c. 7.The range for the velocity of an object extends from 0 m/s to the speed of light. 8.The elapsed time between two events (as seen in any frame) can never be less than the proper time for those two events. 9.An object's length (as seen in any IRF) can never be less than the object's rest length. 10.The speed of a photon in a vacuum (as seen in any…arrow_forwardThe lifetime of a muon is 2.2 μs traversing the atmosphere at 0.98c (average) (a) What is the lifetime (Dt) of this unstable relativistic elementary particle in the rest reference frame of earth? (b) What is the minimum energy uncertainty range (DE) of this unstable particle?arrow_forwardAn unstable particle, initially at rest, decays into a proton (rest energy 938.3 MeV) and a negative pion (rest energy 139.5 MeV). A uniform magnetic field of 0.250 T exists perpendicular to the velocities of the created particles. The radius of curvature of each track is found to be 1.33 m. What is the rest mass of the original unstable particle?arrow_forward
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