Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 28.1, Problem 1cTH
To determine
Whether the bright regions on the screen in the two- slit interference pattern using electrons, would be closer together, farther apart, or stay at the same locations, when the electrons are replaced by muons of same kinetic energy as that of the electrons.
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graphically to the right (note that the curve is a stralgl
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3 A quantum harmonic oscillator consists of a 100-gram mass
attached to a spring with spring constant 60 N/m. This system, while
ocillating, lowers its energy by dropping down one quantum state
(quantum number n decreases by 1). If the energy that the oscillator
loses is carried off by a photon, what would be the wavelength of
this photon? Give your answer in meters. The answer does not
depend on the oscillator's initial quantum state.
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ear
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Suppose that at a given time a quanton has the (unrealistic) wavefunction shown. If we per-
form an experiment to locate the quanton at that time, what is the probalitiy that the result
will be greater than zero? Explain your reasoning. (Assume that y(x) = 0 everywhere out-
side the region shown. The size of the vertical and horizontal scales in not relevant.)
*(x)
Please answer the following question :1. After being scattered by an electron, the wavelength of the x-ray changes in what way? Does that scattered x-ray gain or lose energy? Is this what classical electromagnetic theory predicts?
2. What would the shapes of the graphs be if the classical explanation was the correct explanation?
3. Examine the graph at the lower right. Are the deflected x-rays uniformly distributed over all the scattering angles? Does the shape of that distribution change for different incoming x-ray energies?
Chapter 28 Solutions
Tutorials in Introductory Physics
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- diffraction instrument wherein the detector screen is positioned exactly 0.25 m away from a crystal sample (analyte) and the electrons from the source have an energy of 12.4 keV. Following an experiment we observe the diffraction pattern shown (below) left. A slice through the center of this pattern (dashed yellow line) yields the interference pattern shown on the right, wherein the first dark spot is located 3.15 cm from the centerline. Using this information calculate the lattice constant (interatomic spacing) of the crystal. 3.15 cmarrow_forward1. The Time Dependent Schrodinger equation: ih(t) = = LAC has general solutions: (t) = e(t = 0). Verify this solution (show your work).arrow_forwardThe Balmer series for the hydrogen atom comprises electron energy transitions that end in the n, = 2 state. E (eV) 0.00 6 5 -0.378 -0.544 2 -0.850 4 -1.512 2 -3.401 Balmer series ENERGYarrow_forward
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- Hello! May I ask what should I input on the following boxes? 1.) By evaluating the integral and simplifying, we obtain the following Q = __ pi__R__for the limits from 0 to R 2. "Thus, beta can be expressed as beta=Q/___ ??" 3.) the difference is now, the limits of r will be from 0 to r. Evaluating the integral and simplifying, we obtain qenc =__ r__/__ and By substitution to Equation 1 above, then using A = ___arrow_forwardUsing the image attached please calculate the uncertainty delta, the delta, the upper and lower limits of g. Please also write the actual g value in m/s^2 Please round the delta and the g value. Also please say if the actual g value is between the up and lower limit or if it’s not. For example, the actual g value of 9.8 m/s^2 is between the up and lower limit Please please answer everything super super fast please as fast as possible pleasearrow_forwardExplain clearly how the double slit experiment can show both the particle and wave nature of matter. Use examples, also provide formulae, wherever needed.arrow_forward
- Now consider a system too big for your program to handle: it has a total of 10000 oscillators, with 3000 quanta to be distributed between them. Block 1 has 7000 oscillators, and block 2 has 3000 oscillators. Think about what you observed above. For the most probable distribution of energy between the blocks: How many quanta would you expect to find in block 1? quanta in block 1 How many quanta would you expect to find in block 2? quanta in block 2arrow_forwardplease help with the following questions (part d and e only) based on the question in the picture d. Find an expression for the velocity of the electron at each energy level. Calculatethe velocity of the electron at the lowest energy level. e. Assume a hypothetical ion with Z protons, no neutrons and one electron. Abovewhich Z the velocity of the electron exceeds the speed of light? can such an atomexist?arrow_forwarda) When Vp not equal to Vg ..then how does Vp×Vg=c^2 as mentioned in the expert answer ? The photo is attached below b)Phase velocity and group velocity are equal to each other when phase velocity is independent of wavelength ie when dVp/ d lambda =0 . Explain the given statement elaborately using equations and relations . How does lambda even come into picture.. when we are talking about Vp and Vg being equal to each other ?arrow_forward
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