Estimate the energy due to electron-electron repulsion in helium by calculating the expectation value of the electron-electron interaction in the ground state of para- helium. for this you can ignore the spin-part of the wave function because it is normalized to 1 and it does not enter the expression for the electron-electron inter- action. thus you just need to calculate the expectation value of 1 e2 4160 |r1 – r21 in the state 8 40(ri, r2) = 4100 (rı)t100(r2) = 9,-2(r1+r2)/ao you can choose the polar axis in spherical coordinates to coincide with the direction of r2, so that \rı - r2| = vra + rî – 2r1r2 cos (1 do the integration over 04 first, and in the result distinguish the cases rı < r2 and r1 > r2 before integrating over rı and r2. express the result in units of ry and add it to the energy of the ground state that one gets when neglecting electron-electron interactions, as discussed in the lecture. compare the total with the experimental value for the ground-state energy of -79ev.

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

i think the answer is a, hope this : )