Time-Energy Uncertainty relation

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SUMMARY

The discussion centers on a homework question regarding the Time-Energy Uncertainty relation, specifically the equation \(\Delta t \Delta E = \frac{h}{2}\). The participant received an answer of D, 6.6 eV, but calculated 66 eV, aligning with option C. The consensus among participants confirms that the method used to derive the answer is correct, indicating that the provided answer is likely incorrect.

PREREQUISITES
  • Understanding of the Time-Energy Uncertainty principle
  • Familiarity with Planck's constant (h)
  • Basic algebra for rearranging equations
  • Knowledge of energy units in electronvolts (eV)
NEXT STEPS
  • Study the derivation of the Time-Energy Uncertainty relation
  • Explore applications of the Uncertainty principle in quantum mechanics
  • Learn about Planck's constant and its significance in physics
  • Investigate common pitfalls in solving uncertainty-related problems
USEFUL FOR

Students in physics, particularly those studying quantum mechanics, educators teaching uncertainty principles, and anyone seeking to clarify concepts related to energy and time in quantum systems.

chris_0101
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Homework Statement


So I have this homework question and the answer that was given to me to check the answer that I have does not match with my answer. The question I have to complete is shown below:
question 8.JPG


The answer given to me is D, 6.6eV

Homework Equations



[tex]\Delta[/tex]t[tex]\Delta[/tex]E = [STRIKE]h[/STRIKE]/2

Rearranged for [tex]\Delta[/tex]E:

[tex]\Delta[/tex]E = [STRIKE]h[/STRIKE]/2[tex]\Delta[/tex]t

The Attempt at a Solution



When I attempt the question my answer is 65.8eV, approximately 66eV. This matches with selection c, which makes me believe that the answer given is incorrect and my method is correct.

If someone could clarify this uncertainty (no pun intended), that would be greatly appreciated.

Thanks
 
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That method looks correct, and it also gives me 66 eV.
It would seem to me that the answer you were given is not right.

(Unintended pun duly noted).
 

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