Consider a particle trapped in the third excited state of an infinite square well potential of width L. (a) Write down and sketch the normalized wave function and probability density distribution of the particle in this state. (b) Where is particle most likely to be found? (c) What is the probability of finding the particle between 0.374 and 0.38L? (d) Is this a state of definite kinetic energy? If not, why? If yes, what is the value of kinetic energy in this state? (e) Assuming the particle to be an electron and L = 0.05 nm, find its energy in this state