The Schrödinger Equation can give you the electronic levels and wavefunctions for the hydrogen atom. a) An electron’s distribution is characterized by its wavefunctions. Write the equation whose solution would allow you to calculate the radius of the sphere around the hydrogen nucleus within which the electron will be found 90% of the time. What is the radius of the sphere around the hydrogen atom within which the electron will be found 100% of the time? (Hint refer to Tinoco Example 11.3). b) Calculate the longest wavelength absorption (in nm) for an electronic transition in a hydrogen atom. In what region of the electromagnetic does this occur? c) Calculate the longest wavelength absorption (in nm) for a translation energy transition of a hydrogen atom in a cubic box of length 1 cm. In what region of the electromagnetic spectrum does this occur?