Consider a microscopic spring-mass system whose spring stiffness is 50 N/m and the mass is 4 × 10¯24 kg. What is the smallest amount of vibrational energy that can be added to this system? In a collection of these microscopic oscillators, the temperature is high enough that the ground state and the first three excited states are occupied. What are the possible energies of photons emitted by these oscillators? Sketch an energy level diagram.

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Chapter7: Quantum Mechanics
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Problem 62P: Vibrations of the hydrogen molecule H2 can be modeled as a simple harmonic oscillator with the...
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Consider a microscopic spring-mass system whose spring stiffness is 50 N/m and the mass is 4 × 10¯24 kg.

  • What is the smallest amount of vibrational energy that can be added to this system?
  • In a collection of these microscopic oscillators, the temperature is high enough that the ground state and the first three excited states are occupied. What are the possible energies of photons emitted by these oscillators? Sketch an energy level diagram.
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