Consider a hydrogen atom with the wave function (r, t= 0) = fa[29100(r) – 34: 200 (r) + 2322 (r)] where unem(r) are energy eigenstates. (a) what is the probability of finding the system in the ground state (100)? what is it in the state (200)? and what in the state (322)? what in any other energy eigenstate? (b) determine the expectation value of the energy in this state. (c) determine the expectation value of the operator î" in this state. (d) determine the expectation value of the operator î, in this state. (e) how does the wave function evolve in time? give an expression for 8(r, t). (f) how do the answers to (a) – (d) depend on time?

With the simplified model of the eye, what corrective lens (specified by focal length as measured in air) would be needed to enable a person underwater to focus an infinitely distant object? (be careful-the focal length of a lens underwater is not the same as in air! assume that the corrective lens has a refractive index of 1.62 and that the lens is used in eyeglasses, not goggles, so there is water on both sides of the lens. assume that the eyeglasses are 1.90

Assume that two of the electrons at the negative terminal have attached themselves to a nearby neutral atom. there is now a negative ion with a charge -2e at this terminal. what are the electric potential and electric potential energy of the negative ion relative to the electron? the electric potential and the electric potential energy are both twice as much. the electric potential is twice as much and the electric potential energy is the same. the electric potential is the same and the electric potential energy is twice as much. the electric potential and the electric potential energy are both the same. the electric potential is the same and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron. the electric potential is twice as much and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron.

Astronomers studying the planet of rhombus have detected sedimentary rock on its surface. one astronomer wonders if material in this sedimentary rock used to be in igneous rock deep in rhombus’s interior. can igneous rock become sedimentary rock? explain your answer.