Physics 9702 · AS & A Level · Energy and momentum of a photon

Energy and momentum of a photon — practice question

An electron has rest mass $m_e$ and charge $-q$. A positron is a particle with rest mass $m_e$ and charge $+q$ when at rest. An electron and a positron interact. They may be treated as stationary. As a result, the electron and positron are converted into two gamma-ray ($\gamma$-ray) photons, each with the same energy.
(a(i))[2]

Calculate the energy, in J, of one of the $\gamma$-ray photons.

(a(ii))[2]

Calculate the momentum, in N s, of one of the $\gamma$-ray photons.

(b)[2]

State and explain the direction, relative to one another, in which the $\gamma$-ray photons are emitted.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Appropriate use of $E = mc^2$

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