Yes, the frequency of light can indeed interfere similarly to wavelengths in the double-slit experiment. In the context of light, frequency and wavelength are inversely proportional according to the equation:
c = λν,
where c represents the speed of light, λ denotes the wavelength, and ν represents the frequency. When it comes to interference phenomena, it's the relative phase between waves that determines the interference pattern.
In the double-slit experiment, interference occurs when waves from two slits overlap and interfere with each other. This interference is based on the phase relationship between the waves. If the waves from the two slits are in phase (with their peaks and troughs aligning), constructive interference occurs, resulting in bright fringes. Conversely, if the waves are out of phase (with peaks and troughs misaligned), destructive interference occurs, leading to dark fringes.
Since the frequency of light is directly related to the energy of the photons, and energy is associated with the intensity of the light, changes in frequency can affect the interference pattern. In certain cases, such as with coherent light sources like lasers, the frequency of the light is well-defined, resulting in a consistent interference pattern. However, if the light source has a wide frequency spectrum, such as white light, the interference pattern can become more complex, as different frequency components interfere with each other.
In summary, although interference primarily depends on the relative phase between waves, changes in the frequency of light can affect the interference pattern by altering the alignment of the waves and introducing additional complexity to the interference phenomena.