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Consider a radiation cavity of volume V at temperature T. The average number of photons in equilibrium is proportional to Tα , Find α?
    Correct answer is '3'. Can you explain this answer?
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    Consider a radiation cavity of volume V at temperature T. The average ...
    For photons, B-E statistics is applicable
    For photons,   

    the density of states for photons between p and p + dp is

    Since two independent direction of polarization

    hv = dE
    ⇒ hdv = dE


    Average number of photons 




    The correct answer is: 3
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    Most Upvoted Answer
    Consider a radiation cavity of volume V at temperature T. The average ...
    This statement is known as the Rayleigh-Jeans law and is valid in the classical limit. According to the Rayleigh-Jeans law, the average number of photons in equilibrium is proportional to the temperature of the radiation cavity. Mathematically, it can be expressed as:

    ⟨N⟩ = kT/V

    Where ⟨N⟩ is the average number of photons, k is the Boltzmann constant, T is the temperature of the radiation cavity, and V is the volume of the cavity.

    It is important to note that the Rayleigh-Jeans law is only valid at low frequencies or long wavelengths, and it fails at high frequencies or short wavelengths. This failure was known as the ultraviolet catastrophe and was resolved by the development of quantum mechanics and the Planck's law of blackbody radiation.
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    Consider a radiation cavity of volume V at temperature T. The average number of photons in equilibrium is proportional to Tα , Find α?Correct answer is '3'. Can you explain this answer?
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