I apologize for any confusion caused by my previous response. I made an oversight regarding the intensity of light and its relationship to amplitude and frequency.
In the context of light waves, the amplitude does affect the intensity of the light, but it is not directly related to the frequency or color of the light. The amplitude of a light wave represents the maximum displacement of the electric field or the brightness of the light. A larger amplitude corresponds to a brighter light, while a smaller amplitude indicates a dimmer light.
On the other hand, the frequency of a light wave determines its color. Red light has a lower frequency, while violet light has a higher frequency. The frequency of light is not directly related to the amplitude or intensity of the light.
To address your specific question, if the amplitudes of two light waves, one red and one violet, are equal, they will not have the same intensity of light. The intensity of light is determined by the square of the amplitude. Since red light has a lower frequency compared to violet light, their intensities will not be equal even if the amplitudes are the same.
In summary, amplitude affects the intensity or brightness of light, while frequency determines the color.