AQA AS Physics data and formulae INSERT MAY 2023

AS Physics data and formulae
For use in exams from the June 2016 Series onwards
DATA - FUNDAMENTAL CONSTANTS AND VALUES

Quantity Symbol Value Units
speed of light in vacuo 𝑐 3.00 × 108 m s –1
permeability of free space 0 4π × 10–7 H m–1
permittivity of free space 0 8.85 × 10–12 F m–1
magnitude of the charge of electron 𝑒 1.60 × 10–19 C
the Planck constant ℎ 6.63 × 10–34 Js
gravitational constant 𝐺 6.67 × 10–11 N m2 kg –2
the Avogadro constant 𝑁A 6.02 × 1023 mol–1
molar gas constant 𝑅 8.31 J K –1 mol–1
the Boltzmann constant 𝑘 1.38 × 10–23 J K –1
the Stefan constant 5.67 × 10–8 W m–2 K –4
the Wien constant 2.90 × 10–3 mK
electron rest mass
𝑚e 9.11 × 10–31 kg
(equivalent to 5.5 × 10–4 u)
𝑒
magnitude of electron charge/mass ratio 1.76 × 1011 C kg –1
𝑚e
proton rest mass 𝑚p 1.67(3) × 10–27 kg
(equivalent to 1.00728 u)
𝑒
proton charge/mass ratio 9.58 × 107 C kg –1
𝑚p
neutron rest mass
𝑚n 1.67(5) × 10–27 kg
(equivalent to 1.00867 u)
gravitational field strength 𝑔 9.81 N kg –1
acceleration due to gravity 𝑔 9.81 m s –2
atomic mass unit
u 1.661 × 10–27 kg
(1u is equivalent to 931.5 MeV)


ALGEBRAIC EQUATION GEOMETRICAL EQUATIONS
arc length =r
quadratic equation − b ± b 2 − 4 ac
x=
2a circumference of circle = 2πr
ASTRONOMICAL DATA area of circle = πr2
curved surface area of = 2πrh
Body Mass/kg Mean radius/m
cylinder
Sun 1.99 × 1030 6.96 × 108 surface area of sphere = 4πr2
4
Earth 5.97 × 1024 6.37 × 106 volume of sphere = πr3
3


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