The photon\'s energy is converted to particle\'s mass through Einstein\'s equati

Question

The photon's energy is converted to particle's mass through Einstein's equation, E-mc2 where E is energy. m is mass and c is the speed of light. The photon must have N higher energy than the sum of the rest mass energies of an electron and positron (2x 0.511 MeV-1.022 Mev) for the production to occur Pair production Wikipedia https://en wikipedia.org/wiki/Pair production Given the info in the box above, how much energy in Joules is needed from a photon in order to create an electron/positron pair? 5. (Ans. & units) A lithium ion of atomic mass of 7 (seven Nucleons) and a net charge of +e Coulombs (i.e., it has lost one electron), is accelerated from rest across a voltage of 50,000Volts. (Remember that there are 1.66054e-27 kg per AMU). what is it's final velocity? (Ans. & units) 6.

Explanation / Answer

5. Energy = 1.022 MeV  

Or 1.635 x 10^-13 J  

6. delta(KE) = delta(V)

(7 x 1.66 x 10^-27) v^2 /2 = (1.6 x 10^-19)(50000)

v = 1.17 x 10^6 m/s

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