Difference between revisions of "Annihilation"
(5 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
==Key Stage 5== | ==Key Stage 5== | ||
===Meaning=== | ===Meaning=== | ||
− | '''Annihilation''' is the process in which [[matter]] and [[antimatter]] interact converting all their [[Rest Mass|rest mass]] into [[energy]] resulting in a pair of [[Gamma | + | '''Annihilation''' is the process in which [[matter]] and [[antimatter]] interact converting all their [[Rest Mass|rest mass]] into [[energy]] resulting in a pair of [[Gamma-ray|gamma ray]] [[photon]]s being emitted in opposite directions. |
===About Annihilation=== | ===About Annihilation=== | ||
: '''Annihilation''' occurs when [[particle]]s of [[matter]] and [[antimatter]] interact at extremely close range. | : '''Annihilation''' occurs when [[particle]]s of [[matter]] and [[antimatter]] interact at extremely close range. | ||
− | : During '''annihilation''' the total [[Rest Mass|rest mass]] | + | : During '''annihilation''' the total [[Rest Mass|rest mass]], as well as the [[Kinetic Energy|kinetic energy]], of the [[particle]]s is equal to the total [[energy]] of the two [[Gamma-ray|gamma ray]] [[photon]]s. |
− | : In '''annihilation''' [[Conservation of Momentum|conservation of momentum]] is conserved due to the [[momentum]] of the two [[Gamma | + | : In '''annihilation''' [[Conservation of Momentum|conservation of momentum]] is conserved due to the [[momentum]] of the two [[Gamma-ray|gamma ray]] [[photon]]s travelling in opposite directions. |
===Equation=== | ===Equation=== | ||
+ | Assuming both particles are at rest | ||
+ | |||
<math>2E_0 = 2hf</math> | <math>2E_0 = 2hf</math> | ||
Line 15: | Line 17: | ||
<math>E_0</math> = Rest Mass Energy of each particle | <math>E_0</math> = Rest Mass Energy of each particle | ||
− | <math>hf</math> = The [[energy]] of | + | <math>hf</math> = The [[energy]] of each[[Gamma-ray|gamma ray]] [[photon]] emitted |
<math>h</math> = [[Planck's Constant]] | <math>h</math> = [[Planck's Constant]] | ||
<math>f</math> = The [[frequency]] of the emitted [[photon]] | <math>f</math> = The [[frequency]] of the emitted [[photon]] | ||
+ | |||
+ | |||
+ | In the special case that one of the particles is in motion | ||
+ | |||
+ | <math>2E_0 + E_k = 2hf</math> | ||
+ | |||
+ | Where | ||
+ | |||
+ | <math>E_k</math> = The [[Kinetic Energy|kinetic energy]] of the particle |
Latest revision as of 18:41, 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, as well as the kinetic energy, of the particles is equal to the total energy of the 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