   Chapter 29, Problem 67PE

Chapter
Section
Textbook Problem

(a) The lifetime of a highly unstable nucleus is 10-20. What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.

To determine

(a)

The smallest uncertainty in the decay energy of a highly unstable nucleus.

Explanation

Given info:

Lifetime of a highly unstable nucleus is,Δt=1020s.

Formula used:

The Heisenberg Uncertainty principle for energy and time is,

ΔEΔth4π

Calculation:

Substituting the given values in the above equation, we get

ΔE=h4πΔtΔE=6.626×1034Js4×3

To determine

(b)

The comparison of the uncertainty in decay energy of highly unstable nucleus with rest energy of an electron.

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