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 = mc^2, where E is energy, m is mass and c is the speed of light. The photon must have higher energy than the sum of the rest mass energies of an electron and positron (2 times 0.511 MeV = 1.022 MeV) for the production to occur. 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? _____ (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)

Explanation / Answer

5)

As given in the box,

energy needed E = 2 x 0.511 MeV = 1.022 MeV = 1.022 x 10^6 eV

In joules, E = (1.022 x 10^6) x (1.6 x 10^-19) J

= 1.635 x 10^-13 J

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.