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Wien's peak law, or Wien's displacement law is used to find the peak (or most probable) wavelength or frequency of the plank function for any given temperature.

## Wien's Peak Law for FrequencyEdit

$\frac {h \nu _p}{kT} \approx 2.82$

${h \nu _p} = 3kT$

This result is found by differentiating plank's law in frequency with respect to frequency and solving for the maximum. This results in a transcedental equation and solving that, will result in the equations above

## Wien's Peak Law for WavelengthEdit

$\frac {hc}{\lambda _p kT} \approx 4.97$

$\frac {h \nu _p}{kT} \approx 4.97$, using $\nu _p \lambda _p = c$

$h \nu _p = 5kT$