Compute all parts of given problem:
Problem: Consider a mass of 1.00 x 10-10 grams in a one-dimensional box of length 10.0 Angstroms.
Part I: What is the energy of the mass in the state specified by n=2? Give your answer in Joules.
Part II: When the system is in the state specified by n=1, what is the probability that the mass will be found between x = 2.00 Angstroms and x = (2.00 Angstroms plus 0.00200 Angstroms)? Remember that a probability is a unitless quantity between 0 and 1.
Part III: When the system is in the state specified by n=2, what is the probability that the mass is between x = 2.50 Angstroms and x = 7.50 Angstroms? This question can be answered graphically or by using the calculus.
It'd be really helpful if you could show all steps of your work. Thanks.