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 11, Problem 15P
To determine

An expression for the interval separating successive levels of the Morse oscillator and show that the interval diminishes steadily at higher energies. Determine the largest vibrational quantum number v and the largest vibrational energy permitted for the Morse oscillator.

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A mass of 458 g stretches a spring by 7.2 cm. The damping constant is c = 0.34. External vibrations create a force of F(t)= 0.4 sin 5t Newtons, setting the spring in motion from its equilibrium position with zero velocity. What is the imaginary part v, m of the complex root of the homogeneous equation? Use g= 9.8- .Express your answer in two decimal places.
If you substitute the expressions for ω1 and ω2 into Equation 9.1 and use the trigonometric identities cos(a+b) = cos(a)cos(b) - sin(a)sin(b) and cos(a-b) = cos(a)cos(b) + sin(a)sin(b), you can derive Equation 9.4. How does equation 9.4 differ from the equation of a simple harmonic oscillator? (see attached image) Group of answer choices A. The amplitude, Amod, is twice the amplitude of the simple harmonic oscillator, A. B. The amplitude is time dependent C. The oscillatory behavior is a function of the amplitude, A instead of the period, T. D. It does not differ from a simple harmonic oscillator.
The following problem involves an equation of the form = f(y). dy dt Sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. Draw the phase line, and sketch several graphs of solutions in the ty-plane. dy = y(y − 1)(y — 2), yo ≥0 dt The function y(t) = 0 is no equilibrium solution at all. ▼ The function y(t) = 1 is Choose one The function y(t) = 2 is Choose one
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