consider a particle of mass m confined to move within the z = 0 plane. suppose the particle is in a state with wave function 2v3 (11.46) a measurement of the angular momentum of the particle with respect to the origin is carried out. what are the possible values, and their probabilities? what is the expectation value (ie the average over many measurements, ifthe system has been prepared in the above state before each measurement takes place)? 0the letter comes from the hebrew alphabet and is called "aleph". physicists resort to from the latin and greek alphabets. when we've run out of letters

The particle in a two-dimensional well is a useful model for the motion of electrons around the indole ring (3), the conjugated cycle found in the side chain of tryptophan. we may regard indole as a rectangle with sides of length 280 pm and 450 pm, with 10 electrons in the conjugated p system. as in case study 9.1, we assume that in the ground state of the molecule each quantized level is occupied by two electrons. (a) calculate the energy of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels. 9.27 electrons around the porphine ring (4), the conjugated macrocycle that forms the structural basis of the heme group and the chlorophylls. we may treat the group as a circular ring of radius 440 pm, with 20 electrons in the conjugated system moving along the perimeter of the ring. as in exercise 9.26, assume that in the ground state of the molecule quantized each level is occupied by two electrons. (a) calculate the energy and angular momentum of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.

Select all the correct answers.which two statements are true? a moving magnetic field creates an electric field.a constant magnetic field creates an electric field.a constant electric field creates a magnetic field.a moving electric field creates a magnetic field.resetnext