Consider an alpha particle with kinetic energy E_ (alpha) which is incident on a material. Show that the distance traveled, ∆x, by the alpha particle after it has lost an amount of energy ∆E, in the material, can be found by the following equation:

Question

Consider an alpha particle with kinetic energy E_ (alpha) which is incident on a material. Show that the distance traveled, ∆x, by the alpha particle after it has lost an amount of energy ∆E, in the material, can be found by the following equation:
 ∆x=Range (E_ (alpha)) - Range (E_ (alpha) - ∆E), where Range (E) = ç (dE/SP), from zero to E
 Assume that the stopping power, SP = (dE/SP)