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Back to 7.2 The Heisenberg Uncertainty Principle

7.2 Exercise 1

Avg difficulty 2.5

A sodium atom makes a transition from the first excited state to the ground state, emitting a 589.0-nm photon with energy 2.105 eV. If the lifetime of this excited state is 1.6×10−8s1.6 \times 10^{−8} \text{s}, what is the uncertainty in energy of this excited state? What is the width of the corresponding spectral line?

OpenStax University Physics Volume 3, 7.2 The Heisenberg Uncertainty Principle, exercise 1

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Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.