A) consider two observables represented by operators a and b. show that it is possible b if and only if a commutes with b to choose a complete set of eigenfunctions which are sharp in both a and for simplicity, you may assume that the eigenvalues of a are non-degenerate. [4] (b) how operators compatible with the hamiltonian can be used to resolve the degeneracy consider an example of a highly degenerate set of energy eigenfunctions. explain

when a device is used in a circuit in which the voltage is 81 v, the current flowing through the device is 3 a. what is the resistance of the device?

a. 27 ω

b. 40.5 a

c. 243 ω

d. 243 a

the correct answer is a. 27

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.