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# Physics: Simple Harmonic Oscillator

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Traveling waves are set up in a pair of long strings by a simple harmonic oscillator. The strings have identical mass densities of 5.1 grams/meter. Both strings terminate at a short bungee cord attached to a wall. The harmonic oscillator is attached to the other ends of the strings in such a way that one string is 5.4 meters longer than the other. If the oscillator has frequency 97 Hz:

Give at least two string tensions which will produce the minimum motion of the bungee cord.

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## Modern physics: photon energies, wavelengths, oscillators, etc.

2An atom of mass 2.66 ✕ 10-26 kg oscillates in one dimension at a frequency of 0.60 ✕ 1013 Hz. What is its effective force constant?

What are its quantized energy levels?

3. A H2 molecule can be approximated by a simple harmonic oscillator having a spring constant k = 1.1 ✕ 103 N/m.
(a) How many different energy transitions are possible when the H2 molecule decays from the third excited state down to the ground state?

(b) Find the photon energies produced in these transitions and their wavelengths.

4. Let 10.0 eV electrons approach a potential barrier of height 4.4 eV.
(a) For what minimum barrier thickness is there no reflection?
(b) For what minimum barrier thickness is the reflection a maximum?

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