Wien's displacement law
Also called Wien's law
Wien's law says the peak wavelength a blackbody emits is inversely proportional to its absolute temperature, λmax = b/T, where Wien's constant b = 2.90 x 10^-3 m K. A hotter body peaks at a shorter wavelength.
The AP Physics 2 CED calls it Wien's law, without the word displacement, so both names lead to the same statement. Essential knowledge 15.4.A.3.ii: the peak wavelength emitted by a blackbody, meaning the wavelength at which it emits the greatest amount of radiation per unit wavelength, decreases with increasing temperature.
Printed in the Modern Physics group of the AP Physics 2 sheet. The constants table lists Wien's constant as , and is in kelvin.
Read the word peak precisely. It marks the maximum of intensity per unit wavelength plotted against wavelength (15.4.A.3), not the only wavelength present. A blackbody emits a continuous spectrum, and this law says where that spectrum is tallest.
Inverse, and only inverse. Double the temperature and the peak wavelength halves. A body at peaks at , in the infrared. At the peak sits at , inside the visible band.
It answers a different question from its partner. Wien's law moves the peak sideways along the wavelength axis; the Stefan-Boltzmann law gives the total power leaving the surface. Heating a body does both at once, and a question describing a change of colour wants this one.