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The statement you provided describes the behavior of radiation intensity with respect to the wavelength of radiation at a given temperature. Let's break it down:

  1. "At a given temperature": This implies that the observation is made under a specific temperature condition.

  2. "The intensity of radiation is found to increase with an increase in the wavelength of radiation": This means that as the wavelength of radiation increases, the intensity of the radiation also increases. In other words, longer wavelengths are associated with higher radiation intensity.

  3. "Which increases to a maximum value": As the wavelength continues to increase, the intensity reaches a maximum value. This indicates that there is a point where the intensity is at its highest level in relation to the wavelength.

  4. "And then decreases with an increase in the wavelength": After reaching the maximum value, further increases in the wavelength lead to a decrease in the intensity of radiation. In other words, as the wavelength becomes even longer beyond the point of maximum intensity, the radiation intensity starts to decline.

This behavior is often observed in the context of blackbody radiation or thermal radiation emitted by objects at a certain temperature. It is known as the Planck's law, which describes the spectral distribution of radiation emitted by a blackbody. According to the law, the intensity of radiation increases with wavelength, reaches a peak, and then decreases at longer wavelengths. This pattern is known as the Planck curve or the blackbody spectrum.

In summary, the statement describes the trend of radiation intensity as a function of wavelength at a given temperature, where the intensity initially increases with wavelength, reaches a maximum value, and then decreases as the wavelength further increases.

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