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?