Yes, there is an experiment called the double-slit experiment that demonstrates the dual nature of light (and other particles such as electrons) by exhibiting both wave-like and particle-like behavior simultaneously.
In the double-slit experiment, a beam of light is directed at a barrier with two small slits in it. Behind the barrier, there is a screen where the light is eventually observed. When only one slit is open, the light passing through it creates a pattern of light and dark bands on the screen, indicating an interference pattern typical of waves. This suggests that light behaves as a wave.
However, when both slits are open, something interesting happens. Instead of simply observing two separate interference patterns from each slit, the light creates a pattern of alternating light and dark bands that are the result of interference between the two wavefronts passing through the slits. This interference pattern can only be explained if we consider the light as a wave. However, when the intensity of the light is reduced to very low levels, the pattern on the screen becomes a series of discrete dots, indicating that light also behaves as particles or photons.
This experiment demonstrates that light possesses both wave-like and particle-like properties simultaneously. The presence of an interference pattern indicates the wave nature of light, while the observation of discrete dots indicates the particle nature of light. This phenomenon is a key example of the wave-particle duality of light and is one of the fundamental principles of quantum mechanics.