For a simple harmonic oscillator (SHO) of mass 45g vibrating at a frequency of 2.4 Hz (vibrations per second) with an amplitude 0.040 m: (a) Determine the force constant (k) of the spring. Given: The fundamental vibration frequency of a simple harmonic oscillator is 1 -(k, / m)", where k and m are the force constant and the oscillating mass, respectively. (b) What would be the quantum number v ifthe system were treated quantum-mechanically? Comment on your result. Given: Energy of a simple harmonic oscillator can be approximated as k, x (amplitude).
For a simple harmonic oscillator (SHO) of mass 45g vibrating at a frequency of 2.4 Hz (vibrations per second) with an amplitude 0.040 m: (a) Determine the force constant (k) of the spring. Given: The fundamental vibration frequency of a simple harmonic oscillator is 1 -(k, / m)", where k and m are the force constant and the oscillating mass, respectively. (b) What would be the quantum number v ifthe system were treated quantum-mechanically? Comment on your result. Given: Energy of a simple harmonic oscillator can be approximated as k, x (amplitude).
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Transcribed Image Text:For a simple harmonic oscillator (SHO) of mass 45g vibrating at a frequency of 2.4 Hz
(vibrations per second) with an amplitude 0.040 m:
(a) Determine the force constant (ki) of the spring.
Given: The fundamental vibration frequency of a simple harmonic oscillator is
1
v=(k, / m), where kç and m are the force constant and the oscillating mass,
2n
respectively.
(b)
What would be the quantum number v if the system were treated quantum-mechanically?
Comment on your result.
Given: Energy of a simple harmonic oscillator can be approximated as
k, x (amplitude).
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