# Advanced level formulae – shortened version

This is a shortened list
of formulae that you might need for the first year of your advanced Physics course. For a
fuller list please use the

Formulae list.

Quantity |
Formula |

Acceleration |
Acceleration = change of speed/Time taken = Δv/Δt |

de Broglie equation |
Wavelength of a particle (λ) = h/mv |

Density |
Density (ρ) = mass/volume |

Double slit interference |
Wavelength (λ) = slit separation (a) x fringe width 9x)/D |

Electric current |
Current (I) = charge/time = ΔQ/Δt |

Electrical energy |
Energy = VIt |

Electrical resistance |
R = voltage/current = V/I |

Force (F) |
F = mass (m) x acceleration (a) |

Force on a current in a magnetic field |
F = BIL sinθ |

Gravitational potential energy |
Gravitational potential energy = mgh |

Kinetic energy |
Kinetic energy = 1/2 mv^{2} |

Moment of a force |
Moment = Force x distance of line of action of force from pivot |

Momentum |
Momentum = mass x velocity |

Photoelectric effect |
hf = Φ + 1/2 mv^{2} |

Photon energy |
Energy (E) = Planck's constant (h) x Frequency (f) |

Potential difference |
V = W/Q = energy/charge = power/current |

Power |
Power = work done/time taken |

Power (electrical) |
Power = VI = I^{2}R = V^{2}/R |

Pressure |
P = Force/area |

Refractive index |
Refractive index = sin i/sin r = c_{i}/c_{r} |

Resistivity |
Resistivity (ρ) = RA/L |

Resistors in parallel |
1/R = 1/R_{1} + 1/R_{2} |

Resistors in series |
R = R_{1} + R_{2} |

Speed |
Speed = distance travelled/time taken |

Strain |
Strain (ε) = extension/original length |

Stress |
Stress (σ) = force/area |

Torque of a couple |
Torque = force (one) x distance between forces |

Uniformly accelerated motion |
s = ut + 1/2 at^{2} v^{2} = u^{2} + 2as |

Wave speed |
Wave speed = frequency (f) x wavelength (λ) |

Weight |
Weight = mg |

Work done |
Work = force x distance |

Young modulus |
E = longitudinal stress/longitudinal strain = FL/eA |

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