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?

You are a researcher for a golf club manufacturer. you are given two identical looking cubes of a metal alloy. you are informed that they are made of the exact same material, but one is crystalline, whereas the other is amorphous. it is your job to determine which one is amorphous this one is more stress-resistant and is useful in reinforcing golf clubs. which of the following is the best way to determine which is which? a. determine the density of each cube. the more dense one is the amorphous solid. b. melt both cubes and look for a broader range of melting temperatures. the one that melts over a broader range of temperatures is the amorphous solid. c. determine the density of each cube. the less dense cube is the amorphous solid. d. melt both cubes and measure the range of melting temperatures. the one that melts over a narrower range of temperatures is the amorphous solid.