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Nuclear physics equations

The 11 equations the nuclear physics notes display, each with a link to the lesson that states it. Of the 11, the data booklet prints 7 and 4 are yours to memorise.

Year 13 · 5 lessons with equations.

The marks refer to the AQA 7408 data booklet. An equation it prints is marked as such, and one it leaves out is marked to learn. An equation with no mark has not been checked against that booklet, and some of these belong to the Edexcel, OCR or CIE specification rather than AQA’s, so check them against your own board’s data or formula booklet.

5 lessons

Alpha, beta and gamma radiation

I = \frac{k}{x^{2}}

IN THE AQA DATA BOOKLET

Radioactive decay and the decay constant

\frac{\Delta N}{\Delta t} = -λN

IN THE AQA DATA BOOKLET

A = λN

IN THE AQA DATA BOOKLET

N = N_{0}e^{-λt}

IN THE AQA DATA BOOKLET

T_{½} = \frac{\text{ln}\,2}{λ}

IN THE AQA DATA BOOKLET

A = A_{0}e^{-λt}

NOT IN THE AQA DATA BOOKLET: LEARN IT

Nuclear radius and density

E_{k} = \frac{Qq}{4πε_{0}r_{min}}

NOT IN THE AQA DATA BOOKLET: LEARN IT

R = R_{0}A^{1/3}

IN THE AQA DATA BOOKLET

ρ = \frac{3u}{4πR_{0}^{3}}

NOT IN THE AQA DATA BOOKLET: LEARN IT

Mass-energy and binding energy

E = mc^{2}

IN THE AQA DATA BOOKLET

Nuclear reactors and safety

\text{fraction kept} = (\frac{M - m}{M + m})^{2}

NOT IN THE AQA DATA BOOKLET: LEARN IT

Every equation in the library is indexed by unit on the equation index, and the nuclear physics notes are where these equations are derived and used. The 4 the booklet leaves out are on the equations to memorise, alongside the rest of the course.

Also: Magnetic fields equations · Electronics equations