The relationship between intensity and wavelength/frequency for a given color of light depends on the context in which the term "intensity" is used.
If we consider intensity to refer to the brightness or luminance of light, then there is no direct relationship between intensity and wavelength/frequency for a specific color. The perceived brightness of a color is determined by the amount of light energy reaching our eyes and the sensitivity of our visual system to different wavelengths.
However, if we consider intensity as the amplitude or strength of the light wave, then there is a relationship between intensity and wavelength/frequency. In the case of a single color of light, such as monochromatic light, the intensity of the light wave is directly proportional to the square of its amplitude. This means that doubling the amplitude of a light wave results in four times the intensity.
In terms of the relationship between intensity and wavelength/frequency, for a given color of light, the intensity typically remains constant as long as the light source remains unchanged. The color of light is determined by its wavelength or frequency, and different colors can have different intensities. For example, red light may have a different intensity than blue light, but within a specific color, the intensity generally does not vary with wavelength/frequency.
It's worth noting that the relationship between intensity and wavelength/frequency can become more complex when considering phenomena such as the perception of light by different types of receptors in the human eye or the interaction of light with materials, such as absorption or scattering. However, for a basic understanding, the intensity of a single color of light is not inherently dependent on its wavelength or frequency.