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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 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 105.7MeV.
  • The rest mass energy of electron is 0.511MeV.

Formula used:

Formula to find γfor the electron:

The kinetic energy of electron is given be expression,

  Ek=(mμc2mec2)

Here, mμis 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,

  Ek=(γ1)mec2(γ1)=Ekmec2

To determine

(b)

The velocity of the electron.

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