Probabilities and energies in quantum dots (15 points) quantum dots are nanoscale semiconductor devices that can be used in a variety of applications, including transistors and solar cells. consider an electron trapped in a quantum dot, which we will model as a one-dimensional, rigid-walled box of length 0.900 nm. let x=0 be the left side of the box

(a) what is the probability of finding the electron between x1 = 0.260 nm and x2 = 0.640 nm for the n= 1 state? (give your answer as a decimal between 0 and 1.)
(b) repeat part (a) for the n=2 state.
(c) what is the energy of the quantum dot system in electron volts if it is in the n= 1 state
(d) repeat part (c) for the n=2 state.
(e) what photon energy in ev) is emitted by the quantum dot if it transitions from the n= 2 to n= 1 state?

In the future, people will only enjoy one sport: electrodisc. in this sport, you gain points when you cause metallic discs hovering on a field to exchange charge. you are an electrodisc player playing the popular four disc variant. the disks have charges of qa = −8.0 µc, qb = −2.0 µc, qc = +5.0 µc, and qd = +12.0 µc. (1) you bring two disks together and then separate them. you measure the resulting charge of these two disks and find that it is +5.0 µc per disk. which two disks did you bring together? (a) a and b (b) a and c (c)a and d (d)b and c(e) b and d (f) c and d. (2) you bring three disks together and then separate them. you measure the resulting charge of these three disks and find that it is +3.0 µc per disk. which three disks did you bring together? a, b, and c (a) a, b, and d (c) a, c, and d (d) b, c, and d. (3) given the resulting charge of each disk measured in (b) is +3.0 µc, how many electrons would you need to add to a disk of this charge to electrically neutralize it? electrons