Units of plancks law in terms of wavelength

In summary, Planck's law is a fundamental law of physics that explains the distribution of energy emitted by objects at different temperatures. It is typically expressed in units of energy per unit wavelength per unit area per unit solid angle. This law is used in various fields of science to understand the emission of energy from objects, and it is derived from the concept of black bodies. Planck's constant, a fundamental constant in quantum mechanics, is used in this law to calculate the energy of electromagnetic radiation at a given wavelength.
  • #1
Hypatio
151
1
The dimensional term in Planck's law (after getting rid of steradians) is

[itex]\frac{h c^2}{\lambda^5}[\itex]Which seems to yield units of J*m/s. However, Wikipedia suggests that the units are J/(m3*s). If wikipedia is right, how do you get that answer?
 
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  • #2
How did you get J*m/s? There is a length to the 5th power in the denominator.

(the closing tag is [/itex])
 

What is Planck's law?

Planck's law is a fundamental law of physics that explains the distribution of energy emitted by a perfect black body at a given temperature.

What are units of Planck's law in terms of wavelength?

The units of Planck's law in terms of wavelength are typically expressed as energy per unit wavelength per unit area per unit solid angle (e.g. J⋅s−1⋅m−1⋅sr−1).

How is Planck's law used in science?

Planck's law is used in various fields of science, such as astrophysics, cosmology, and thermodynamics, to understand the distribution of energy emitted by objects at different temperatures.

What is the significance of Planck's constant in Planck's law?

Planck's constant, denoted by h, is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency. It is used in Planck's law to calculate the energy of electromagnetic radiation at a given wavelength.

How does Planck's law relate to the concept of black bodies?

Planck's law is derived from the concept of black bodies, which are theoretical objects that absorb all incident electromagnetic radiation and emit radiation at a specific temperature. Planck's law helps to explain the spectral distribution of energy emitted by black bodies at different temperatures.

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