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 :
Key Idea: Positron is antiparticle of electron. Electron and positron are identical in all respect except that charges on then 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 6.511 MeV. Hence, \[2\times 0.511\text{ }MeV\] energy of photon is converted to rest mass energy of two particles. Total energy is \[E=2\times 0.511\times {{10}^{6}}\times 1.6\times {{10}^{-19}}\] \[E=1.6\times {{10}^{-13}}J\]
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