There is no limit to the size a hydrogen atom can attain, provided it is free from disruptive outside influences. In fact, radio astronomers have detected radiation from large, so-called "Rydberg atoms" in the diffuse hydrogen gas of interstellar space. 

(a) Find the smallest value of n such that the Bohr radius of a single hydrogen atom is greater than 8.0 microns, the size of a typical single-celled organism. 

(b) Find the wavelength of radiation this atom emits when its electron drops from level n to level n - 1. 

(c) If the electron drops one more level, from n - 1 to n - 2, is the emitted wavelength greater than or less than the value found in part (b)? Explain.