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Difference between revisions of "Annihilation"

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===Equation===
 
===Equation===
Assuming both particles are at rest:
+
Assuming both particles are at rest
  
 
<math>2E_0 = 2hf</math>
 
<math>2E_0 = 2hf</math>
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In the special case that one of the particles is in motion:
+
In the special case that one of the particles is in motion
  
 
<math>2E_0 + E_k = 2hf</math>
 
<math>2E_0 + E_k = 2hf</math>

Revision as of 18:34, 23 January 2021

Key Stage 5

Meaning

Annihilation is the process in which matter and antimatter interact converting all their rest mass into energy resulting in a pair of gamma ray photons being emitted in opposite directions.

About Annihilation

Annihilation occurs when particles of matter and antimatter interact at extremely close range.
During annihilation the total rest mass of, as well as their kinetic energy results in the production of two gamma ray photons.
In annihilation conservation of momentum is conserved due to the momentum of the two gamma ray photons travelling in opposite directions.

Equation

Assuming both particles are at rest

\(2E_0 = 2hf\)

Where

\(E_0\) = Rest Mass Energy of each particle

\(hf\) = The energy of eachgamma ray photon emitted

\(h\) = Planck's Constant

\(f\) = The frequency of the emitted photon


In the special case that one of the particles is in motion

\(2E_0 + E_k = 2hf\)

Where

\(E_k\) = The kinetic energy of the particle