Chapter 28, Problem 3PE

### College Physics

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

Chapter
Section

### College Physics

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

# Particles called π -mesons are produced by accelerator beams. If these particles travel at 2.70 × 10 8 m/s and live 2.60 × 10 − 8 s when at rest relative to an observer, how long do they live as viewed in the laboratory?

To determine

The Particles calledπ mesons are produced by accelerator beams. If these particles travel at2.7×108 ms1 and live2.6×108 s when at rest relative to an observer, Then the time they live as viewed in the laboratory.

Explanation

Given info:

â€ƒâ€ƒv=2.7Ã—108Â msâˆ’1

â€ƒâ€ƒc=3Ã—108Â msâˆ’1

â€ƒâ€ƒÎ”t0â‰ˆ2.6Ã—10âˆ’8Â s

Formula used:

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

â€ƒâ€ƒÎ”tâ‰ˆÎ³Î”t0

Relativistic factor is

â€ƒâ€ƒÎ³â‰ˆ11âˆ’v2c2

Calculation:

Substituting the given values of velocity and speed of light, we get

â€ƒâ€ƒÎ³â‰ˆ11âˆ’(2

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