# Wien Displacement Law Formula

The Wien's Displacement Law provides the wavelength where the spectral radiance has maximum value. This law states that the black body radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature.

Maximum wavelength = Wien's displacement constant / Temperature

The equation is:

λ_{max}= b/T

Where:

λ_{max}: The peak of the wavelength

b: Wien's displacement constant. (2.9*10^{(−3)} m K)

T: Absolute Temperature in Kelvin.

Wien Displacement Law Formula Questions:

1) If the temperature of a black body radiator is 127K, which is its peak of radiation?

Answer:

The peak is found with the formula:

λ_{max}= b/T

then,

λ_{max}= 2.9*10^{(-3)} m K/127 K = 0.022*10^{(-3)} m

2) A star has a surface temperature of 10000K. At what wavelength will this star emit most of its light?

Answer:

Most of the wavelength is found with the formula:

λ_{max}= b/T

then,

λ_{max}= 2.9*10^{(-3)} m K/10000 K = 0.00029*10^{(-3)} m

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