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1.An unnormalized wavefunction for an electron in carbon nanotube of length L is Sin(2πx/L), where x is the coordinate position along the nanotube long axis. Normalize this wavefunction. What is the probability of finding an electron in the range of dx at x=L/2? What is the probability of finding an electron in the range of L/3 and 2L/3?
2. What is the value of n of a particle in a one-dimensional box such that the separation between neighbouring energy level is equal to the energy of thermal motion (Ethermal = kBT, kB is the Boltzmann constant)?
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