The relationship between the energy of a photon and the frequency of light was determined by Ernst Planck (1858 - 1947). Here is the equation he discovered E = hf. Because photons of light have wave-like properties this equation may also be represented using the speed of light and wavelength, E = hc/λ.
Where h is Planck’s constant = 6.63 x 10-34 J*s)
c is the speed of light = 3.00x108 m/s
f is the frequency of the photon (in cycles/sec or s-1)
λ is the wavelength of light (in meters)

1. Show how you calculate the energy of light that has a frequency of f = 4.0 x 10^14 s^-1.

2. Use the information above to determine the wavelength of a photon of light that has the same energy