Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 9, Problem 9.60E
Interpretation Introduction
Interpretation:
The solutions to the second-order differential equation for the motion of a harmonic oscillator are to be predicted and the solution is to be plotted versus time.
Concept introduction:
The harmonic oscillator is a back and forth periodic motion produced by restoring force. The kinetic energy of a moving pendulum or an object is converted into gravitational potential energy.
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Physical Chemistry
Ch. 9 - For an object having mass m falling in the z...Ch. 9 - For the system in exercise 9.1, determine the...Ch. 9 - Prob. 9.3ECh. 9 - Prob. 9.4ECh. 9 - Prob. 9.5ECh. 9 - List some unexplainable phenomena from the...Ch. 9 - Draw, label, and explain the functions of the...Ch. 9 - Convert a a wavelength of 218A to cm1, b a...Ch. 9 - Prob. 9.9ECh. 9 - Prob. 9.10E
Ch. 9 - Explain why no lines in the Balmer series of the...Ch. 9 - What are the series limits see the previous...Ch. 9 - The following are the numbers n2 for some of the...Ch. 9 - The Balmer series is isolated from the other...Ch. 9 - Given that the wavelengths of the first three...Ch. 9 - Some scientists study Rydberg atoms, atoms whose...Ch. 9 - Prob. 9.17ECh. 9 - Prob. 9.18ECh. 9 - a How much radiant energy is given off, in...Ch. 9 - Stefans law, equation 9.18, suggests that any body...Ch. 9 - Prob. 9.21ECh. 9 - Betelgeuse pronounced beetle juice is a reddish...Ch. 9 - An average human body has a surface area of...Ch. 9 - Prob. 9.24ECh. 9 - The slope of the plot of energy versus wavelength...Ch. 9 - a Use Wien displacement law to determine the max...Ch. 9 - Prob. 9.27ECh. 9 - Sunburn is caused by ultraviolet UV radiation. Why...Ch. 9 - Calculate the energy of photon having: a a...Ch. 9 - Prob. 9.30ECh. 9 - Integrate Plancks law equation 9.23 from the...Ch. 9 - Calculate the power of light in the wavelength...Ch. 9 - Prob. 9.33ECh. 9 - Work functions are typically given in units of...Ch. 9 - Determine the speed of an electron being emitted...Ch. 9 - Lithium has a work function of 2.90eV. Light...Ch. 9 - Prob. 9.37ECh. 9 - Assume that an electron can absorb more than one...Ch. 9 - The photoelectric effect is used today to make...Ch. 9 - Prob. 9.40ECh. 9 - Prob. 9.41ECh. 9 - Prob. 9.42ECh. 9 - Prob. 9.43ECh. 9 - Prob. 9.44ECh. 9 - Use equation 9.34 to determine the radii, in...Ch. 9 - Prob. 9.46ECh. 9 - Calculate the energies of an electron in the...Ch. 9 - Prob. 9.48ECh. 9 - Show that the collection of constants given in...Ch. 9 - Prob. 9.50ECh. 9 - Equations 9.33 and 9.34 can be combined and...Ch. 9 - a Compare equations 9.31, 9.34, and 9.41 and...Ch. 9 - Label each of the properties of an electron as a...Ch. 9 - The de Broglie equation for a particle can be...Ch. 9 - What is the wavelength of a baseball having mass...Ch. 9 - Electron microscopes operate on the fact that...Ch. 9 - Prob. 9.57ECh. 9 - Prob. 9.58ECh. 9 - Determine under what conditions of temperature and...Ch. 9 - Prob. 9.60ECh. 9 - Prob. 9.61E
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- Show that the collection of constants given in equation 9.40 gives the correct numerical value of the Rydberg constant.arrow_forwardUsing the original definition of the momentum operator and the classical form of kinetic energy, derive the one-dimensional kinetic energy operator K=22m2x2arrow_forwardFor an atom of mercury, an electron in the 1s shell has a velocity of about 58(0.58) of the speed of light. At such speeds, relativistic corrections to the behavior of the electron are necessary. If the mass of the electron at such speeds is 1.23me where me is the rest mass of the electron and the uncertainty in velocity is 10,000m/s, what is the uncertainty in position of this electron?arrow_forward
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- For an object having mass m falling in the z direction, the kinetic energy is 12mz and the potential energy is mgz, where g is the gravitational acceleration constant approximately 9.8m/s2 and z is the position. For this one-dimensional motion, determine the Lagrangian function L and write the Lagrangian equation of motion.arrow_forwardEquations 9.33 and 9.34 can be combined and rearranged to find the quantized velocity of an electron in the Bohr hydrogen atom. a Determine the expression for the velocity of an electron. b From your expression, calculate the velocity of an electron in the lowest quantized state. How does it compare to the speed of light? (c=2.9979108m/s) c Calculate the angular momentum L=mvr of the electron in the lowest energy state of the Bohr hydrogen atom. How does this compare with the assumed value of the angular momentum from equation 9.33?arrow_forwardA particle on a ring has a wavefunction =12eim where equals 0 to 2 and m is a constant. Evaluate the angular momentum p of the particle if p=i How does the angular momentum depend on the constant m?arrow_forward
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