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 1aTH
To determine
whether the momentum of a muon is greater than, less than or equal to the momentum of the electron, if both have equal kinetic energies.
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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)
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.
A br
ear
vni
The 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
ENERGY
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Tutorials in Introductory Physics
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- 1. The Time Dependent Schrodinger equation: ih(t) = = LAC has general solutions: (t) = e(t = 0). Verify this solution (show your work).arrow_forwardCould you please show more details of step 2? Where does f=1/2L*sqrt((T/(m/l))) come from?arrow_forwardA set of particles simultaneously enters the region between parallel plates indicated. The designs are not to scale, but looking from left to right and assuming they entered roughly in the middle estimate the relative positions that would be found with the supplied data. (data is shown in image 1 and 2) in which position was each particle (a, b, c, d)?arrow_forward
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- An electron de-excites from the fourth quantum level in the diagram of Exercise 1 to the third and then directly to the ground state. Two photons are emitted. How does the sum of their frequencies compare with the frequency of the single photon that would be emitted by de-excitation from the fourth level directly to the ground state? Exercise 1 Consider just four of the energy levels in a certain atom, as shown in the diagram. How many spectral lines will result from all possible transitions among these levels? Which transition corresponds to the highest-frequency light emitted? To the lowest-frequency light emitted?arrow_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_forwardplease write clearly and step by step!! 1. Calculate the fraction of the power of a fundamental Gaussian beam that passes through an aperture with a radius that is equal to 2Wo.arrow_forward
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