3 Resonance and Quality Factor The quality factor Q of an oscillating system is a measure of how well the system stores energy: where an is the natural frequency of the oscillator, y is the damping coefficient, T is the period of oscillation, and r is the decay time. (a) A child on a swing stops kicking her legs. She swings back and forth about 20 times before the swing effectively comes to a stop. Assume that the final amplitude of the swing is about 2 percent of its initial value: i.e., the final amplitude is e- times the initial amplitude. What is Q for the swing? (b) The Mossbauer effect is a very sharp resonance of atomic nuclei in solids that involves emission or absorption of a gamma ray. The resonant frequency of this transition is about 1.5 x 1021 Hz. The full width at half maximum (FWHM) of the resonance is about 1.5 x 10'" Hz. What is Q for this transition?

3 Resonance and Quality Factor The quality factor Q of an oscillating system is a measure of how well the system stores energy: where an is the natural frequency of the oscillator, y is the damping coefficient, T is the period of oscillation, and r is the decay time. (a) A child on a swing stops kicking her legs. She swings back and forth about 20 times before the swing effectively comes to a stop. Assume that the final amplitude of the swing is about 2 percent of its initial value: i.e., the final amplitude is e- times the initial amplitude. What is Q for the swing? (b) The Mossbauer effect is a very sharp resonance of atomic nuclei in solids that involves emission or absorption of a gamma ray. The resonant frequency of this transition is about 1.5 x 1021 Hz. The full width at half maximum (FWHM) of the resonance is about 1.5 x 10'" Hz. What is Q for this transition?

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Description: 3 Resonance and Quality FactorThe quality factor Q of an oscillating system is a measure of how well the system stores energy:where an is the natural frequency of the oscillator, y is the damping coefficient, T is the period of oscillation, and ris

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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