Yes, several problems would arise if the wavelength of sound became equal to the wavelength of white light. Sound waves and light waves belong to different regions of the electromagnetic spectrum and have distinct properties and behaviors. Here are a few issues that would arise:
Incompatibility of media: Sound waves require a medium, such as air or water, to propagate, whereas light waves can travel through a vacuum. Since the propagation of sound relies on the compression and rarefaction of molecules in a medium, it would not be possible for sound waves to propagate through empty space like light waves do. Therefore, if sound waves had the same wavelength as light, they would not be able to travel through a vacuum or reach our ears.
Speed of propagation: Sound waves travel much slower than light waves. In air at room temperature, sound travels at approximately 343 meters per second, while light travels at about 299,792,458 meters per second in a vacuum. If the wavelength of sound became equal to the wavelength of light, it would imply that sound waves would have to travel at the speed of light. This contradicts the known behavior of sound waves and the limitations imposed by the speed of sound in a given medium.
Sensory perception: Our auditory system is specifically designed to detect and interpret sound waves within the range of frequencies that our ears are sensitive to. If sound waves had the same wavelength as light waves, they would fall outside the range of human hearing. Our ears are not equipped to detect electromagnetic waves in the visible light spectrum. We would not be able to perceive sound as we do currently.
In summary, if the wavelength of sound were to become equal to the wavelength of white light, it would lead to fundamental incompatibilities and inconsistencies with the properties of both sound waves and light waves. The two phenomena would no longer behave in the ways we currently understand them, and our sensory perception of sound would be dramatically altered.