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College Physics

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

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BuyFindarrow_forward

College Physics

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

The decay energy of a short-lived nuclear excited state has an uncertainty of 2.0 eV due to its short lifetime. What is the smallest lifetime it can have?

To determine

The smallest lifetime of a short-lived nuclear excited state having an uncertainty of2.0eV.

Explanation

Given info:

Uncertainty in decay energy is,ΔE=2.0eV.

Formula used:

The Heisenberg Uncertainty principle for energy and time is,

ΔEΔth4π

Calculation:

Substituting the given values in the above equation, we get

Δt=h4πΔE=6.626×1034Js4×3

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