I An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. a. Show that the electric field inside this atom is Ze 1 Ein 4πο R b. What is E at the surface of the atom? Is this the expected value? Explain. c. A uranium atom has Z= 92 and R = 0.10 nm. What is the electric field strength at r =R?

I An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. a. Show that the electric field inside this atom is Ze 1 Ein 4πο R b. What is E at the surface of the atom? Is this the expected value? Explain. c. A uranium atom has Z= 92 and R = 0.10 nm. What is the electric field strength at r =R?