Chemistry · Quantum Mechanics
For a particle exhibiting simple harmonic motion in 1-dimension, the uncertainty in its position in the state having the given zero point energy, E0 = 12ℏω, is found to be proportional to the energy of the level. If the energy of the specific state is 7E0, what is the uncertainty in its position (where k is the force constant)?
- 1√7E0k✓
- 214E0k
- 3√14E0k
- 47E0k
Correct answer
√7E0k
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