Light do show some wave nature, since you can do experiment of diffraction with light.
However, in PHOTOELECTRIC EFFECT, in this experiment, zinc is exposed to UV light, and electrons are emitted from the metal.
The results are shown as below:
1. Number of electrons emitted depends on the intensity of the light.
2. Energy (Kinetic energy) of the electrons emitted depends on the frequency of the light.
Energy is proportional to frequency
Therefore, there's another formulae about E=hf
E - energy
h - Planck's constant
f - frequency
3. Light need to be in a frequency which is higher than the threshold frequency in order to emit electrons in the metal. Light is packed in quanta.
From the formulae E=hf
It does show particle nature of electomagnetic waves.
This is called wave-particle duality
By the ways, in ELECTRON DIFFRACTION, it does show wave nature of electrons, electrons can be diffracted in a similar way as light and x-ray. (Yes, electrons are particles.)
So that are electrons actually waves?
In modern physics, there is something called photon which is quanta of light. I think that light is just something has both properties of wave and particle. Not everything has the exact answer to it.
So what do you think?
P.S. There is more information about photon in the website below.