Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 40P
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Chapter 4 Solutions
Modern Physics for Scientists and Engineers
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - What fraction of 5-MeV α particles will be...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61P
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- Suppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen atom) and its kinetic energy is equal to the ground state energy of the hydrogen atom in Bohr's model (13.6 eV). (a) What is the minimum uncertainty of its momentum? What fraction of its momentum is it? (b) What would the uncertainty in kinetic energy of this electron be if its momentum were equal to your answer in part (a)? What fraction of its kinetic energy is it?arrow_forwardAn electron has a total energy of 5 MeV. a. Find its momentum in units of MeV/c. and what is the Beta value, if you are able to find it? if not, don't worry about it. Thanks!arrow_forwarda. Conceptually, discuss the particle-wave duality of light. Discuss the implications of this in combination with the de Broglie (pronounced “de Broy”) equation. b. The electron of a hydrogen atom is usually no further than 1.0 Å from the proton. We can therefore say the upper limit of the radius of an isolated hydrogen atom is roughly 1.0 Å. How does the de Broglie wavelength of the electron compare to this radius? (The velocity of an electron in the first principal energy level is about 2.2 x 106 m/s). Explain why wave-particle duality is so important for quantum mechanics, yet not required in macroscopic systems that are well described by classical mechanics. c. Comment as to whether neutrons with velocity 4.14 x 103 m/s may be used to determine structures of molecules in a diffraction-based experiment. You may consider the relevant distance between atoms in molecules to be on the order of 1 Å.arrow_forward
- How do we get the solution X(x) and T(t) ? Please explain in detail.arrow_forwardDetermine the maximum wavelength of thephoton that hydrogen in the excited stateni = 6 can absorb. The energy of the groundstate of hydrogen is −13.6 eV, the speed oflight is 2.99792 × 10^8 m/s and Planck’s constant is 6.62607 × 10^−34 J · s.Answer in units of nm. What would be the next smaller wavelengththat would work?Answer in units of nm.arrow_forward4.8. Solve Schrödinger's equation for the ground state of helium neglecting the potential term between the two electrons. What is the energy of the ground state calculated this way? The measured value is -24.6 eV. What do you think the difference is caused by? Give an explanation in physical terms.arrow_forward
- The Lennard-Jones parameters for argon are: A = 1.022 x 10-7 J m° and B = 1.579 x 10-134 J m12. Calculate the distance at which the energy will be minimum and calculate the minimum energy. Draw the energy profile also. I.arrow_forwardRecord your eV from the previous question in the SECOND column. In the first, write the answer to 1/wavelength. For a wavelength of 175 nm, the answer you write on the scratch paper for 1/175 is closest to ; use a calculator [also, be sure to actually write this answer in the first row of your scratch-paper data table, ha ha] O 0.571 0.0571 0.00571 0.000571arrow_forward1. Consider an electron confined in a region of nuclear dimensions (about 5 fm). Find its minimum possible kinetic energy in MeV. Treat this problem as one-dimensional, and use the relativistic relation between E and p. Give your answer to 2 significant figures. (The large value you will find is a strong argument against the presence of electrons inside nuclei, since no known mechanism could contain an electron with this much energy.)arrow_forward
- ·Shown here is the visible part of the spectrum of some gas. There are 11 lines. There could be 6. more, they just aren't in the wavelength range of the spectrum. The wavelength increases toward the right. :.. de f gh k (a) Which line or lines correspond(s) to the two closest spaced energy levels? Explain. (b) Which line or lines correspond(s) to the two farthest spaced energy levels? Explain. (c) What is the minimum number of energy levels in an atom of the gas that could produce the lines in this spectrum? Explain.arrow_forwardThe wavelengths of the Paschen series for hydrogen are given by n = 4, 5, 6, ... (a) Calculate the wavelengths of the first three lines in this series. 1.877e-6 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step car 1.283e-6 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step car 1.905e-6 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step car (b) Identity the region of the electromagnetic spectrum in which these lines appear. O visible light region O ultraviolet region O infrared region O gamma ray region O x-ray regionarrow_forwardConsider the set of measured values [7.8,7.1,4.3,9.8,6.3,9.6,6.0,4.7,1.4,2.4]. What is the standard deviation of this set of data? You'll need to be able to calculate the average value before finding out the standard deviation)arrow_forward
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