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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

A relatively long-lived excited state of an atom has a lifetime of 3.00 ms. What is the minimum uncertainty in its energy?

To determine

The minimum uncertainty in the energy of a long-lived excited state of an atom.

Explanation

Given info:

Lifetime of excited state is,Δt=3.0ns.

Formula used:

The Heisenberg's Uncertainty principle for energy and time can be expressed mathematically as,

ΔEΔth4π

Calculation:

Substituting the given values in the above equation, we get

ΔE=h4πΔtΔE=6.626×1034Js4×3.14×3

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