I know about how the modern physics is built upon the two famous experiments: 1. DSE: Double Slit Experiment 2. MME: Michelson Morley Experiment
But these experiments are really give confusions to me to think about a photon, if I consider that as only a particle. So the following questions arise.
How are we measuring the wavelength of a photon? I came to know that even for single photon we are computing energy based on its wavelength. So it is confusing to get the idea of wavelength for a single photon. Can we measure the wavelength of single photon? If yes, how?
How are we measuring the frequency of a photon? As the energy of photon is purely depends on wavelength (\lamda), why do we need the term frequency in the first case. Why did we define the term frequency in terms of its wavelength and its linear velocity (c) for a single photon, if we know only about its wavelength and linear speed?
How are we measuring the linear speed of a photon? I read the history of computing the light speed and I read about Maxwell's equations too. I am aware of my this question too. Just I want to know whether we are using only the wave nature to fix the light speed by using the interference and diffraction gratings. Or is there any other modern/ classical way to measure the speed of light apart from using wave nature (incl Maxwell's Electromagnetic relationship with light)?
Finally and simply E= h f . How are we validating this great equation? From the previous questions this question can be easily understood.
How does the linear speed of a photon contributing to its energy? I know the difference between the linear and angular speed an object. If I consider the photon as a particle, it can have angular velocity too. I am wondering how these classical mechanics failed there. Even if it is true, for the massless photon what is the meaning of kinetic energy?