   Chapter 28, Problem 5PE

Chapter
Section
Textbook Problem

A neutral π -meson is a particle that can be created by accelerator beams. If one such particle lives 1.40 × 10 − 16 s as measured in the laboratory, and 0.840 × 10 − 16 s when at rest relative to an observer, what is its velocity relative to the laboratory?

To determine

A neutralπ meson is a particle that can be created by accelerator beams. If one such particle lives1.40×108 s as measured in the laboratory, and0.84×1016 s when at rest relative to an observer, then its velocity relative to the laboratory.

Explanation

Given info:

c=3×108 ms1

Δt00.84×1016 s

t1.40×1016 s

Formula used:

For time duration for meson view in the laboratory calculation, the relation between time and relativistic factor is

ΔtγΔt0

γΔtΔt0

Relativistic factor is

γ11v2c2

Velocity can

vc1+1(γ

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