# 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 mv2 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 mv2 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 = I2R = V2/R Pressure P = Force/area Refractive index Refractive index = sin i/sin r = ci/cr Resistivity Resistivity (ρ) = RA/L Resistors in parallel 1/R = 1/R1 + 1/R2 Resistors in series R = R1 + R2 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 at2     v2 = u2 + 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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