To determine the speed of light using Planck's constant, the relevant equations involve energy, frequency, and wavelength. The discussion highlights that E=mc² relates to the total energy of an electron, but the focus should be on using frequency and wavelength to calculate the speed of light with the equation c = λν. Participants note that known variables must be clearly defined to proceed, emphasizing the need for accurate measurements of frequency and wavelength. The role of Planck's constant is acknowledged, but its direct contribution to measuring light speed is questioned without known values for frequency and wavelength. Accurate data collection is essential for successfully determining the speed of light in this context.