In a colour TV, the electron beam is accelerated through 32 kV before striking the screen. Determine the wavelength of the most energetic X-ray photon produced.

Step-by-step solution

The maximum energy of the X-ray photon produced is equal to the kinetic energy of the accelerated electron. E_ max = hc _ min = eV _ min = hc eV Substituting hc 1240 eV nm and V = 32000 V : _ min = 1240 32000 nm _ min = 0.03875 nm Converting to picometers ( 1 nm = 1000 pm ): _ min = 0.03875 1000 pm = 38.75 pm 38.8 pm