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When and electron-positron pair annihila...

When and electron-positron pair annihilates, the energy released is about.

A

`0.8xx10^(-13)J`

B

`1.6xx10^(-13)J`

C

`3.2xx10^(10-13)J`

D

`4.8xx10^(-13)J`

Text Solution

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The correct Answer is:
B

Antiparticles of stable particles Such as the position and the antiproton)are themselves stable.However,when a particle and its antiparticle meet,the annihilation reaction can occur,the particle and antiparticle both vanish and instead two or more photons can be produced.Conveservation of energy and momentum require that,neglecting the kinetic energies of the particles,when two photons are wmitted each much have an energy equal to the rest mass energy of the particles.Thus when electron-positron pair annihilate each other,the energy released is equal to rest mass of electron and position.
`e^(-)+e^(+)togamma_(1)+gamma_(2)`
`[E_(gamma1)=E_(gamma2)=0.511 MeV=0.8xx10^(-13) ]J`
The total energy released=`1.6xx10^(-13)`J.
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