Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 5, Problem 33P
To determine

The fractional uncertainty in the mass of the meson.

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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.
Most of the particles known to physicists are unstable. For example, the lifetime of the neutral pion,π0, is about 8.4x10-17 s. Its mass is 135.0 MeV/c2. a) What is the energy width of the π0 in its ground state? b) What is the relative uncertainty ∆m/m of the pion’s mass?
An 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.
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