Relativity might seem far removed from daily life, but even some older technologies had to take it into account. The electrons that draw the picture on the screen in an old-fashioned television set are accelerated through a potential difference of 18.0 kV. Required:
a. Calculate the speed of the electrons using the Newtonian formula for kinetic energy.
b. Calculate the speed of the electrons using the relativistic formula for kinetic energy.

Materials will have different energies associated with the electrons inside them. this is related to how strongly bound they are by their work function. if we sandwich a material with a very low energy between two materials with a high energy, we create a trap for an electron. if this trap is very narrow in one direction in comparison to the others, this is approximately a 1-dimensional box that confines the electron. what is the lowest energy of an electron in the box if the thinnest direction across the materials is 4.81 nm?