An atom has a size of approximately 0.1 nm. Take this size as x, the uncertainty in

An atom has a size of approximately 0.1 nm. Take this size as Δx, the uncertainty in the position of an electron in the atom. 

(a) Use the Heisenberg uncertainty relation to compute the uncertainty Δp in the electron’s momentum. 

(b) If the electron’s total momentum is equal to Δp, what is its kinetic energy? 

(c) How does your answer to part (b) compare with the binding energy of a typical atom? 

(d) Suppose the atomic size is reduced to 0.05 nm. This size might correspond to the extent of the wave function of the most tightly bound electrons in an atom such as argon. What is the estimated binding energy in this case? Does your result imply that these electrons are more “tightly bound” than the electron in part (c)?