30 DENAKER What three properties of the nucleus can be deduced from the Rutherford scattering experiment? Explain your answer. M

(a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.

CT scanners do not detect details smaller than about 0.5 Is this limitation clue to the wavelength of x lays? Explain.

(a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.

What is the difference between (rays and characteristic x rays? Is either necessarily more energetic than the other? Which can be the most energetic?

c. Write the mathematical expression for the radial probability function. The radial probability function for any orbital is zero at the nucleus, it also approaches zero at long distance from the nucleus. Explain why.

Assume a nucleus X2. What are the possible spin values for the nucleus?

2. The nuclear radius of gold is approximately r = 7.0 fm (1.0 fm = 1.0 x 10-15 m). The radii of protons and aparticles are 1.3 fm and 2.6 fm, respectively. (a) What energy a particles would be needed in head-oncollision tor the nuclear surtaces to just touch? This is about where the nuclear torce becomes etective.(b) What energy protons would be needed?

Text a Vorkbook t Sharing ings Item 9 Part A How many protons and how many neutrons are in 2H? Enter your answers numerically separated by a comma. Z, N = 2,1 Submit Part B VE ΑΣΦ X Incorrect; Try Again; 4 attempts remaining Z, N= Previous Answers Request Answer How many protons and how many neutrons are in 32P ? Enter your answers numerically separated by a comma. Submit VE ΑΣΦΑ Request Answer f t O ? ?

An a grain with a kinetic energy of 5 MeV approaches an Au (gold) nucleus with the sighting parameter equal to the radius of the Au nucleus. a. Find the maximum approach distance of the a particle to the nucleus in these conditions. (Za=2, ZAu=79 and rAu=7 fm) b. How close can the alpha particle get to the gold core? c. Únder what conditions can this approach take place (Assume the target core does not rebound)