Consider an electron in a hydrogen atom potential with the state 4xf. m)-i (note that this is represented in a different basis from problem 1.) 2. %-n a. assume you were to make a measurement of l, for this particle. list all possible results of this measurement and the probability associated with each. explain. (note: if you use any resources, such as the textbook, be sure to note it explicitly b. assume you were to make a measurement of s, for this particle. list all possible results of this measurement and the probability associated with each. explain suppose a measurement of l on this particle resulted in a value of 0. after this measurement, is the quantity s well-defined? if so, give its value. explain. c. d. consider the statements given by the students below. state whether you agree or disagree with each student. explain your reasoning. student l: "/s 1 for this state, so there are three possible values, just like always: o or th." student 2: "i don't think you could measure +h for this state, though, because that would mean the z-component of spin would have to be-3/2 h, and that's not possible." student 3: "i agree, there are only two options. that means there must be a 50% chance of measuring 0 and a 50% chance of measuring-h."