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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

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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