Question

Atomic nuclei are made up of protons and neutrons. Protons and neutrons are made up of quarks. In this problem, we will investigate the electric field of a neutron The neutron consists of three quarks: an up quark with a charge of +2e/3 and two down quarks, each with a charge of-e/3. (Here, e-15-10-19 C is the charge of an electron.) In one model of a neutron, the up quark occupies a radius of about a = 0.3 fm. The two down quar R-2 fm. ks occupy the distance between a and the radius of the neutron, For this problem, you may consider the neutron to be a uniformly charged sphere of charge +2e/3 and radius a surrounded by a uniformly charged spherical shell of inner radius a and outer radius R and charge 2e/3, as shown in the figure. (a) Use Gauss' law to find the electric field as a function of distance from the center of the neutron. Analyze all three regions of interest: T < a, a < r < R, and T > R. (b) Make a plot of electric field strength as a function of radius for 0 < τ < 5 fm. Your plot should be neat and accurate. Use graph paper plotting software. Be sure to include units, label your axes, and clearly indicate the location of a and R on your plot

Answer 1