   Chapter 33, Problem 46PE

Chapter
Section
Textbook Problem

Integrated ConceptsCalculate the relativistic quantity for 1.00−TeV protons produced at Fermilab. (b) If such a proton created a having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?

To determine

(a)

The relativistic quantity for 1 TeV protons produced at fermi lab.

Explanation

Given:

Energy of protons produced at fermi lab =1 TeV

Formula used:

Total energy of any relativistic particle, E=γE0

Where, γ relativistic quantity

E0 rest energy of the particle

Calculation:

Rest energy of proton, E0=938 MeV

Therefore, relativistic quantity for 1 TeV protons,

To determine

(b)

The life time of π+ particle created by 1 TeV protons in the laboratory with the same speed

as that of protons.

To determine

(c)

The distance travelled π+ particle created by 1 TeV protons in the laboratory with the same

speed as that of protons.

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