Concept explainers
The brief description of the Ultraviolet Catastrophe.

Answer to Problem 1CQ
Explanation of Solution
Ultraviolet Catastrophe is a classical prediction and is also known as Rayleigh–Jeans catastrophe.
Here the term Ultraviolet refers to the fact that the problem appears in short wavelength region of
Ultraviolet Catastrophe predicts that an ideal black body at thermal equilibrium will emit radiation in all frequency ranges and it emits more energy when the value of frequency increases with infinite power.
The expression for the energy is,
Eλ=8πkTλ4
Here,
k is the Boltzmann Constant.
T is the temperature.
λ is the wavelength of electromagnetic wave.
The above equation can explain the energy distribution curves for longer wavelengths satisfactorily, but fails to explain the curves for smaller wavelengths.
Integrate the above equation from zero to infinity.
∞∫0Eλ=∞∫08πkTλ4=∞
Conclusion:
Therefore, Ultraviolet Catastrophe is an event causing great and usually sudden damage or suffering when an ideal black body at thermal equilibrium emits radiation with infinite power.
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Chapter 30 Solutions
PHYSICS LOOSE W/ MASTERING ACCESS CODE
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