Adifferent electron is placed in a region of uniform magnetic field b_0 in the z-direction. this electron is initially known to be in the state 1/2(squareroot 3 1). show that this state is an eigenstate of the operator 1/2 s_z + squareroot 3/2 s_x and determine its eigenvalue. show your work. calculate the expectation value of the x-component, y-component, and z-component of spin as a function of time. show your work. give a physical interpretation for the time dependence of the expectation values you identified in the previous question. consider the statements given below. student 1: "stationary states do not depend on time. the state we were given is not a stationary state, so it does depend on time." student 2: "i agree. once we know that the state depends on time, we know that all probabilities must also depend on time." both students are incorrect. use an example to identify the flaws in each student's reasoning.

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

answer: the potential energy decreases from 379 j to 243 j

explanation:

for the law of conservation of energy, the total energy in a system must be conserved. the total energy of the system is given by the sum of kinetic (k) and potential (u) energy:

e = k + u

the total energy is e=675 j, and this does not change.

initially, the kinetic energy is k=296 j, so the potential energy is

at the end, the kinetic energy is k=432 j, so the potential energy is

so, we see that the potential energy has decreased from 379 j to 243 j.