It is possible for an electron and a positron to orbit aroundtheir stationary ce

Question

It is possible for an electron and a positron to orbit aroundtheir stationary center of mass until they annihilate each other,creating 2 photons of equal energy moving in oppositedirections. The amount of kinetic energy of theelectron-positron pair before annihilation is negligible comparedto energy of photons created Calculate, in eV, the rest energy of a positron Determine, in eV, the energy each emitted photon musthave Calculate the wavelength of each created photon Calculate the magnitude of the momentum of each photon Determine total momentum of the two-photon system It is possible for an electron and a positron to orbit aroundtheir stationary center of mass until they annihilate each other,creating 2 photons of equal energy moving in oppositedirections. The amount of kinetic energy of theelectron-positron pair before annihilation is negligible comparedto energy of photons created Calculate, in eV, the rest energy of a positron Determine, in eV, the energy each emitted photon musthave Calculate the wavelength of each created photon Calculate the magnitude of the momentum of each photon Determine total momentum of the two-photon system

Explanation / Answer

Calculate, in eV, the rest energy of a positron:
mc2 =9.1*10-31*(3.0*108)2 J =5.10*105 eV

Determine, in eV, the energy each emitted photon must have
E = 5.10*105 eV

Calculate the wavelength of each created photon
E = hc/
= 2.42*10-12 m

Calculate the magnitude of the momentum of each photon
p = h/ = 2.74*10-22 kgm/s

Determine total momentum of the two-photon system
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