No, Planck's wave-particle duality, specifically related to the behavior of photons (particles of light), is not directly related to the wave theory of light. Planck's work laid the foundation for quantum theory and introduced the concept of energy quantization, which helped explain the observed behavior of light and other forms of electromagnetic radiation.
The wave theory of light, also known as the electromagnetic wave theory, describes light as a propagating wave of oscillating electric and magnetic fields. This theory was developed by scientists such as James Clerk Maxwell and is successfully used to explain many phenomena related to light, such as interference, diffraction, and polarization.
Planck's quantum theory, on the other hand, introduced the idea that electromagnetic radiation, including light, can also exhibit particle-like behavior. According to Planck, the energy of a photon is quantized, meaning it can only exist in discrete amounts or "packets" of energy. This concept was further developed by Albert Einstein in his explanation of the photoelectric effect and later became one of the fundamental principles of quantum mechanics.
In summary, while both the wave theory of light and Planck's wave-particle duality are important concepts in understanding the behavior of light, they are distinct and complementary theories. The wave theory explains light's behavior as a wave, while Planck's quantum theory describes the particle-like behavior of light energy.