Examples of Wien’s Displacement Law

Examples of Wien’s Displacement Law include:

  • Peak radiation from a wood fire that is around 1500K hot is produced at 2000 nm, as is evident. In other words, the majority of the radiation that the wood fire emits is not visible to the unaided eye. Because of this, a campfire is a terrible source of light while being a fantastic source of heat.
  • When a piece of metal is heated, it first turns red hot. The longest wavelength in the visible spectrum is this one. The color shifts from red to orange to yellow with additional heating. At its hottest, the metal will shine white. The shorter wavelengths of light are dominant.
  • In an Incandescent light bulb, the heat produced by the filament is directly proportional to the voltage, in the case of voltage drops temperature of the filament also drops with it. Which can be seen as the bulb looking red compared to its previous state.

Wien’s Displacement Law

Wein’s Displacement Law or Wein’s Law is named after the man who discovered it, Wilhelm Wien; a German physicist. Wilhelm Wein has done remarkable work in the field of Radiation, for which he was granted a noble price for physics in 1911. Max Planck who was a colleague of Wien, continued his work on the same topic and gave Wein-Plank Law and further a more general law Planck’s Law of Radiation. Wein’s Displacement Law is a fundamental concept in the study of radiation and describes the relationship between the temperature of an object and the wavelength of its maximum emission of radiation. This short article provides a thorough explanation of Wein’s law, including the mathematical formulation and various ways it can be expressed.

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Wien’s Law

According to Wien’s Displacement Law also called Wein’s Law, the black body’s temperature has an inverse relationship with the wavelength with the highest emissive power. The relationship between the peak wavelength (wavelength with peak emissive power, m) and the temperature of the radiating black body is provided by this law....

Formula for Wein’s Law

The law is expressed mathematically as follows:...

Wien’s Displacement Constant

Wein’s Displacement Constant is the physical constant that is represented by b in Wein’s Displacement Law. The value of Wein’s Displacement constant in SI units is 2.878 × 10−3 mK or if we change the unit of length to the micrometer, then b ≈ 2898 μm⋅K....

Wien’s Displacement Law Derivation

The formula for Wien’s Displacement law can be derived by differentiating the formula for Planck’s radiation law. The mathematical procedure of the same is given as follows:...

Examples of Wien’s Displacement Law

Examples of Wien’s Displacement Law include:...

Significance of Wien’s Displacement Law

This law holds a very high significance in the study of radiation, some of its useful aspects are as follows:...

Solved Examples on Wien’s Displacement Law

Example 1: The North star emits energy with a wavelength of 410 nm, while the sun emits light at a maximum intensity of 621 nm. What is the ratio of the surface temperatures of the sun and the north star, if these stars behave like black bodies?...

FAQs on Wien’s Displacement Law

Q1: What is the Wien’s Displacement Law?...

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