#### Data

Speed of light in free space,

*c* = 3.00 x 10^{8} ms^{-1}

Permeability of free space,

*µ*_{O} = 4π x 10^{-7} Hm^{-1}

Permittivity of free space,

*ε*_{O} = 8.85 x 10^{-12} Fm^{-1}

Elementary charge,

*e* = 1.60 x 10^{-19} C

The Planck constant,

*h* = 6.63 x 10^{-34} Js

Unified atomic mass constant,

*u* = 1.66 x 10^{-27} Kg

Rest mass of electron,

*m*_{e} = 9.11 x 10^{-31} Kg

Rest mass of proton,

*m*_{p} = 1.67 x 10^{-27} Kg

molar gas constant,

*R* = 8.31 JK^{-1} mol^{-1}

The Avogadro constant,

*N*_{A} = 6.02 x 10^{23} mol^{-1}

The Boltzmann constant,

*k* = 1.38 x 10^{-23} JK^{-1}

Gravitational constant,

*G* = 6.67 x 10^{-11} Nm^{2} Kg^{-2}

Acceleration of free fall,

*g* = 9.81 ms^{-2}

#### Formulae

uniformly accelerated motion,

*s* = *ut* + 1/2*at*^{2}

*v*^{2} = *u*^{2} + 2*as*

work done on/by a gas,

*W* = *p*Δ*V*

Gravitational potential,

*Φ* = *-Gm/r*

Simple harmonic motion,

*a* = *-ω*^{2}x

Velocity of particle in s.h.m.,

*v* = *v*_{o} cos* ωt*

*v* = ±ω √(x^{2}_{0} - x^{2})

Resistors in series,

*R* = *R*_{1} + R_{2} + ...

Resistors in parallel,

1/*R* = 1/*R*_{1} + 1/*R*_{2} + ...

Electric potential,

*V* = *Q*/(4πε_{o}*r)*

Capacitors in series,

1/*C* = 1/*C*_{1} + 1/*C*_{2} + ...

Capacitors in parallel,

*C* = *C*_{1} + C_{2} + ...

Energy of charged capacitor,

*W* = (1/2)*QV*

Alternating current/voltage,

*x* = *x*_{o}sin*ωt*

Hydrostatic pressure,

*p* = *ρgh*

Pressure of an ideal gas,

*p* = (1/3)*(Nm/V)<c*^{2}>

Radioactive decay,

*x* = *x*_{o}exp(-*λt*)

Decay constant,

*λ* = 0.693 / *t*_{1/2}

Critical density of matter in the Universe,

*ρ*_{o} = (3*H*_{o}^{2})/8π*G*

Equation of continuity,

*Av* = constant

Bernoulli equation (simplified),

*p*_{1} + (1/2)ρv_{1}^{2} = *p*_{2} + (1/2)ρv_{2}^{2}

Stokes' law,

*F* = *Arηv*

Reynolds' number,

*R*_{e} = *ρvr/η*

Drag force in turbulent flow,

*F* = *Br*^{2}ρv^{2}