(1) Read Example 7B.2 in text book and complete the following calculation: Carbon nanotubes are thin hollow cylinders of carbon with diameters between 1 nm and 2 nm, the lengths of several micrometers. According to one simple model, the second lowest-energy electrons of the nanotubes are described by the wavefunction sin(2xx/L), where L is the length of the nanotube. Normalize this wavefunction. (2) The wavefunction of an electron in the lowest energy state of a hydrogen atom is proportional to exp(-r/ao), with ao a constant (Bohr radius) and r the distance from the nucleus. Normalize this wavefunction. (Hint: electron appears in 3-D space, so does the wavefunction.)