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

A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find γ for the electron. (b) What is the electron's velocity?

To determine

(a)

The γfor the electron.

Explanation

Given info:

• The rest mass energy of muon is 105.7â€‰MeV.
• The rest mass energy of electron is 0.511MeV.

Formula used:

Formula to find Î³for the electron:

The kinetic energy of electron is given be expression,

â€ƒâ€ƒEkâ€‰=â€‰(mÎ¼c2â€‰âˆ’mec2)

Here, mÎ¼is the mass of muon and meis the mass of electron and cis the speed of light.

Formula to find the kinetic energy of particle is,

â€ƒâ€ƒEkâ€‰=(Î³âˆ’1)mec2(Î³âˆ’1)=â€‰Ekmec2

To determine

(b)

The velocity of the electron.

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