- #1
Krappy
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Homework Statement
An electron traveling at 0.8c annihilates with a positron that is at rest, producing two photons. One of the produced photons travels in the direction of the electron. Determine the energy of each of the photons.
Homework Equations
[tex]p_{photon} = \frac{E}{c}[/tex]
[tex]P_{electron} = \frac{m_e v}{\sqrt{1-v^2/c^2}}[/tex]
The Attempt at a Solution
[tex]p_i = p_f[/tex]
[tex]\frac{m_e v}{\sqrt{1-v^2/c^2}} = 2p_{photon}[/tex]
[tex]E = \frac{m_e 0.9 c^2}{2 \sqrt{1-0.81}} = 8.46 \times 10^{-14} J[/tex]First of all, I already searched about this frequent topic, but didn't manage to solve the issues. My "issue" is regarding the final momentum. I assume that both photons will have the same momentum, but I don't think that's right.
Thank You ;)