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Rayleigh- Jean’s Law

Illustration of vibrations of a drum.

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Lord Rayleigh on classical limes made an attempt to explain the energy distribution in black body radiation, which was completed by Jeans in 1900. The result obtained by then is known as Rayleigh – Jean’s Law.

Black body emits radiation of continuously variable wavelength right from zero to infinity. This radiation can be imagined as broken up into monochromatic waves. These monochromatic waves originate as a result of a different modes of vibration of the medium, which at that time was supposed to be an electromagnetic sensitive medium called ETHER According to well known result of statistical mechanics, the number of such modes of vibration lying between the wavelength range \lambda and \lambda+d\lambda is equal to 8\pi{\lambda}^{-4}d\lambda per unit volume. And also according to the theorem of equipartition of energy, the total energy of a system for each mode of vibration (or degree of freedom) is equal to kT , where k is the Boltzmann constant and T is the temperature of the system in Kelvin. Hence the total energy of the radiation lying between the wavelength range \lambda and \lambda + d\lambda per unit volume is
u_{\lambda}d\lambda =number of mode of vibration \times kT
or, u_{\lambda}d\lambda=8\pi kT{\lambda}^{-4}d\lambda
This is Rayleigh-Jean’s Law.

Now, the Next is The Planck Law, most Important.

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2 Comments

  1. vinod says:

    very nice yours article

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