No, if a speaker could vibrate at the frequency of light, it would not produce light in the traditional sense. Light is an electromagnetic wave, whereas sound is a mechanical wave. They propagate through different mediums and have distinct properties.
Sound waves are created by the vibration of particles in a medium, such as air, water, or solids. A speaker generates sound waves by vibrating a diaphragm, which creates pressure variations in the surrounding air molecules. These pressure variations then propagate as a wave through the medium.
On the other hand, light is produced by the acceleration of charged particles, typically electrons, within atoms or molecules. When an electron transitions from a higher energy state to a lower energy state, it releases energy in the form of electromagnetic radiation, which includes visible light. These electromagnetic waves do not require a medium to propagate and can travel through a vacuum.
Therefore, even if a speaker could vibrate at the frequency of light, it would not produce light because the mechanisms by which sound and light are generated are fundamentally different.