Wien’s Law Calculator, Formula, Calculation, Example

Wien’s Law Calculator:

Enter the Peak wavelength, Peak Temperature or Body Temperature, the calculator automatically calculates the Wavelength or temperature.

With this Wien’s law calculator, you can easily estimate the temperature of a substance based on the peak wavelength or frequency of its thermal emission spectrum. And estimate the temperature of the surface of the Sun, lava or a hot body yourself!

Wien’s law describes the relationship between emission spectrum and temperature. In the following sections, we have provided complete details about Wien’s Law and its formulation.

The following are the rules and guidelines for solving the black body temperature of an object.

Get the peak wavelength of light from the question. Multiply the peak wavelength by Wien’s displacement constant. If not, check the peak frequency of the light Divide the peak frequency by the constant to get the body temperature.

Wien’s Law Formula:

Wien’s law formula is the peak wavelength of light Λmax is equal to the b(mK) in millimeter kelvin and divide by the absolute body temperature of black body T(k) in Kelvin. Hence the wien’s law formula can be written as

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Λmax =b(mK)/T(k)

Wien’s law representation with frequency is given here

Fmax =k*T

Where

Λmax= is the peak wavelength of light

T=is the absolute body temperature of black body

B=2.8977719 mm*K is the wien’s displacement constant

Fmax =is the peak frequency

K=5.878*1010 Hz /K is the numerical constant

Example:1

The wavelength of maximum solar emission is observed to be approximately 0.82 μm.What is the surface temperature of the sun?

Answer:

Given that

Maximum wavelength =7.45 μm=7.45 *10-7  m

B=2.9*10-3 mK

Wien’s Displacement Law formula is wavelength =b/Temperature

T=2.9*10-3/7.45 *10-7

=3.892 K

Therefore, the surface temperature of the sun is3.89 K

Example:2

The wavelength of maximum solar emission is observed to be approximately 0.65 μm.What is the surface temperature of the sun?

Answer:

Given that

Maximum wavelength =6.45 μm=6.45*10-7  m

B=2.9*10-3 mK

Wien’s Displacement Law formula is wavelength =b/Temperature

T=2.9*10-3/6.45 *10-7

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= 4.4961K

Therefore, the surface temperature of the sun is 4.4961K

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