The question asks us to identify which phenomenon among the given options is not explained by the wave nature of light. Let's analyze each option to determine this:
From the analysis above, the only phenomenon not explained by the wave nature of light is the photoelectric effect. This observation is key to the development of quantum mechanics where light is described as having both wave and particle properties.
Therefore, the most appropriate answer is: C only.
The photoelectric effect is the phenomenon in which electrons are ejected from the surface of a material when it is exposed to light. This effect cannot be explained by the wave nature of light. Instead, it provides strong evidence for the particle nature of light.
On the other hand, phenomena such as reflection, diffraction, interference, and polarization are well explained by the wave nature of light.
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is: