A) \[0.8 \times \,\,{{10}^{-}}^{13}\,J\]
B) \[1.6 \times \,\,{{10}^{-}}^{13}\,J\]
C) \[3.2 \,\times \,\,{{10}^{-}}^{13}\,J\]
D) \[4.8 \,\times \,\,{{10}^{-}}^{13}\,J\]
Correct Answer: B
Solution :
Positron is antiparticle of electron. Electron and positron are identical in all respect except that charges on them are opposite when an electron and a positron meet together, they completely annihilate each other and two photons are produced. \[{{e}^{+}}+{{e}^{-}}\,\,\to \,\,2\gamma \] The rest mass energy of each particle, electron and positron is 0.511 MeV. Hence, \[2 \times 0.511\, MeV\] energy of photon is converted to rest mass energy of two particles. Total energy is \[E'=2\times 0.511\times {{10}^{6}}\times 1.6\times 1{{0}^{-19}}\] \[E'=1.6\times {{10}^{-}}^{13}\,J\]
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