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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

What is the approximate uncertainty in the mass of a muon, as determined from its decay lifetime?

To determine

The approximate uncertainty in the mass of a muon from its decay lifetime.

Explanation

Formula used:

The Heisenberg Uncertainity principle for time and energy is given by the formula,

ΔEΔth4π

Calculation:

The decay lifetime of muon is,Δt=2.2μs.

Substituting the values in the above equation, we get

ΔE=h4πΔtΔE=6.626×1034Js4×3.14×2.2×106sΔE=2

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